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Finding the Fourth Proportional to 5,672,602.09, 7,828,240.85 and 3,094,294.33

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Solution

The fourth proportional to 5,672,602.09, 7,828,240.85 and 3,094,294.33 is: 4,270,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,602.09 : 7,828,240.85 = 3,094,294.33 : x
  2. Step 2: Convert to fraction form
    5,672,602.09/7,828,240.85 = 3,094,294.33/x
  3. Step 3: Cross multiply
    5,672,602.09x = 7,828,240.85 × 3,094,294.33
  4. Step 4: Simplify right side
    5,672,602.09x = 24,222,881,276,029.38
  5. Step 5: Solve for x
    x = 24,222,881,276,029.38/5,672,602.09
  6. Step 6: Final answer
    x = 4,270,153.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.