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Finding the Fourth Proportional to 3,953.74, 5,930.60 and 3,713.17

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Solution

The fourth proportional to 3,953.74, 5,930.60 and 3,713.17 is: 5,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.74 : 5,930.60 = 3,713.17 : x
  2. Step 2: Convert to fraction form
    3,953.74/5,930.60 = 3,713.17/x
  3. Step 3: Cross multiply
    3,953.74x = 5,930.60 × 3,713.17
  4. Step 4: Simplify right side
    3,953.74x = 22,021,277.78
  5. Step 5: Solve for x
    x = 22,021,277.78/3,953.74
  6. Step 6: Final answer
    x = 5,569.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.