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Finding the Fourth Proportional to 5,344.71, 7,376.64 and 3,107.28

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Solution

The fourth proportional to 5,344.71, 7,376.64 and 3,107.28 is: 4,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.71 : 7,376.64 = 3,107.28 : x
  2. Step 2: Convert to fraction form
    5,344.71/7,376.64 = 3,107.28/x
  3. Step 3: Cross multiply
    5,344.71x = 7,376.64 × 3,107.28
  4. Step 4: Simplify right side
    5,344.71x = 22,921,285.94
  5. Step 5: Solve for x
    x = 22,921,285.94/5,344.71
  6. Step 6: Final answer
    x = 4,288.59

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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.