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Finding the Fourth Proportional to 5,732.57, 7,911.27 and 4,313.71

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Solution

The fourth proportional to 5,732.57, 7,911.27 and 4,313.71 is: 5,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.57 : 7,911.27 = 4,313.71 : x
  2. Step 2: Convert to fraction form
    5,732.57/7,911.27 = 4,313.71/x
  3. Step 3: Cross multiply
    5,732.57x = 7,911.27 × 4,313.71
  4. Step 4: Simplify right side
    5,732.57x = 34,126,889.90
  5. Step 5: Solve for x
    x = 34,126,889.90/5,732.57
  6. Step 6: Final answer
    x = 5,953.15

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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.