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Finding the Fourth Proportional to 4,602.78, 6,349.80 and 3,604.05

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Solution

The fourth proportional to 4,602.78, 6,349.80 and 3,604.05 is: 4,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.78 : 6,349.80 = 3,604.05 : x
  2. Step 2: Convert to fraction form
    4,602.78/6,349.80 = 3,604.05/x
  3. Step 3: Cross multiply
    4,602.78x = 6,349.80 × 3,604.05
  4. Step 4: Simplify right side
    4,602.78x = 22,884,996.69
  5. Step 5: Solve for x
    x = 22,884,996.69/4,602.78
  6. Step 6: Final answer
    x = 4,971.99

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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.