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Finding the Fourth Proportional to 4,129.52, 5,698.14 and 2,266.52

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Solution

The fourth proportional to 4,129.52, 5,698.14 and 2,266.52 is: 3,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.52 : 5,698.14 = 2,266.52 : x
  2. Step 2: Convert to fraction form
    4,129.52/5,698.14 = 2,266.52/x
  3. Step 3: Cross multiply
    4,129.52x = 5,698.14 × 2,266.52
  4. Step 4: Simplify right side
    4,129.52x = 12,914,948.27
  5. Step 5: Solve for x
    x = 12,914,948.27/4,129.52
  6. Step 6: Final answer
    x = 3,127.47

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