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Finding the Fourth Proportional to 4,761.56, 6,569.42 and 2,665.28

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Solution

The fourth proportional to 4,761.56, 6,569.42 and 2,665.28 is: 3,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.56 : 6,569.42 = 2,665.28 : x
  2. Step 2: Convert to fraction form
    4,761.56/6,569.42 = 2,665.28/x
  3. Step 3: Cross multiply
    4,761.56x = 6,569.42 × 2,665.28
  4. Step 4: Simplify right side
    4,761.56x = 17,509,343.74
  5. Step 5: Solve for x
    x = 17,509,343.74/4,761.56
  6. Step 6: Final answer
    x = 3,677.23

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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.