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Finding the Fourth Proportional to 5,614.40, 8,417.03 and 2,102.43

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Solution

The fourth proportional to 5,614.40, 8,417.03 and 2,102.43 is: 3,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.40 : 8,417.03 = 2,102.43 : x
  2. Step 2: Convert to fraction form
    5,614.40/8,417.03 = 2,102.43/x
  3. Step 3: Cross multiply
    5,614.40x = 8,417.03 × 2,102.43
  4. Step 4: Simplify right side
    5,614.40x = 17,696,205.87
  5. Step 5: Solve for x
    x = 17,696,205.87/5,614.40
  6. Step 6: Final answer
    x = 3,151.93

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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.