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Finding the Fourth Proportional to 5,614.53, 8,417.22 and 2,102.57

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Solution

The fourth proportional to 5,614.53, 8,417.22 and 2,102.57 is: 3,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.53 : 8,417.22 = 2,102.57 : x
  2. Step 2: Convert to fraction form
    5,614.53/8,417.22 = 2,102.57/x
  3. Step 3: Cross multiply
    5,614.53x = 8,417.22 × 2,102.57
  4. Step 4: Simplify right side
    5,614.53x = 17,697,752.17
  5. Step 5: Solve for x
    x = 17,697,752.17/5,614.53
  6. Step 6: Final answer
    x = 3,152.13

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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.