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Finding the Fourth Proportional to 5,502.71, 8,259.31 and 3,416.40

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Solution

The fourth proportional to 5,502.71, 8,259.31 and 3,416.40 is: 5,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.71 : 8,259.31 = 3,416.40 : x
  2. Step 2: Convert to fraction form
    5,502.71/8,259.31 = 3,416.40/x
  3. Step 3: Cross multiply
    5,502.71x = 8,259.31 × 3,416.40
  4. Step 4: Simplify right side
    5,502.71x = 28,217,106.68
  5. Step 5: Solve for x
    x = 28,217,106.68/5,502.71
  6. Step 6: Final answer
    x = 5,127.86

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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.