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Finding the Fourth Proportional to 5,614.28, 8,419.98 and 1,664.61

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Solution

The fourth proportional to 5,614.28, 8,419.98 and 1,664.61 is: 2,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.28 : 8,419.98 = 1,664.61 : x
  2. Step 2: Convert to fraction form
    5,614.28/8,419.98 = 1,664.61/x
  3. Step 3: Cross multiply
    5,614.28x = 8,419.98 × 1,664.61
  4. Step 4: Simplify right side
    5,614.28x = 14,015,953.53
  5. Step 5: Solve for x
    x = 14,015,953.53/5,614.28
  6. Step 6: Final answer
    x = 2,496.49

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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.