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Finding the Fourth Proportional to 4,681.60, 6,459.24 and 2,691.43

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Solution

The fourth proportional to 4,681.60, 6,459.24 and 2,691.43 is: 3,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.60 : 6,459.24 = 2,691.43 : x
  2. Step 2: Convert to fraction form
    4,681.60/6,459.24 = 2,691.43/x
  3. Step 3: Cross multiply
    4,681.60x = 6,459.24 × 2,691.43
  4. Step 4: Simplify right side
    4,681.60x = 17,384,586.26
  5. Step 5: Solve for x
    x = 17,384,586.26/4,681.60
  6. Step 6: Final answer
    x = 3,713.39

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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.