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Finding the Fourth Proportional to 3,709.20, 5,117.71 and 2,384.71

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Solution

The fourth proportional to 3,709.20, 5,117.71 and 2,384.71 is: 3,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.20 : 5,117.71 = 2,384.71 : x
  2. Step 2: Convert to fraction form
    3,709.20/5,117.71 = 2,384.71/x
  3. Step 3: Cross multiply
    3,709.20x = 5,117.71 × 2,384.71
  4. Step 4: Simplify right side
    3,709.20x = 12,204,254.21
  5. Step 5: Solve for x
    x = 12,204,254.21/3,709.20
  6. Step 6: Final answer
    x = 3,290.27

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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.