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Finding the Fourth Proportional to 4,274.55, 6,412.50 and 1,809.38

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Solution

The fourth proportional to 4,274.55, 6,412.50 and 1,809.38 is: 2,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.55 : 6,412.50 = 1,809.38 : x
  2. Step 2: Convert to fraction form
    4,274.55/6,412.50 = 1,809.38/x
  3. Step 3: Cross multiply
    4,274.55x = 6,412.50 × 1,809.38
  4. Step 4: Simplify right side
    4,274.55x = 11,602,665.28
  5. Step 5: Solve for x
    x = 11,602,665.28/4,274.55
  6. Step 6: Final answer
    x = 2,714.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.