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Finding the Fourth Proportional to 3,614.60, 5,414.34 and 1,877.96

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Solution

The fourth proportional to 3,614.60, 5,414.34 and 1,877.96 is: 2,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.60 : 5,414.34 = 1,877.96 : x
  2. Step 2: Convert to fraction form
    3,614.60/5,414.34 = 1,877.96/x
  3. Step 3: Cross multiply
    3,614.60x = 5,414.34 × 1,877.96
  4. Step 4: Simplify right side
    3,614.60x = 10,167,913.95
  5. Step 5: Solve for x
    x = 10,167,913.95/3,614.60
  6. Step 6: Final answer
    x = 2,813.01

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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.