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Finding the Fourth Proportional to 5,611.74, 8,414.88 and 2,102.28

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Solution

The fourth proportional to 5,611.74, 8,414.88 and 2,102.28 is: 3,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.74 : 8,414.88 = 2,102.28 : x
  2. Step 2: Convert to fraction form
    5,611.74/8,414.88 = 2,102.28/x
  3. Step 3: Cross multiply
    5,611.74x = 8,414.88 × 2,102.28
  4. Step 4: Simplify right side
    5,611.74x = 17,690,433.93
  5. Step 5: Solve for x
    x = 17,690,433.93/5,611.74
  6. Step 6: Final answer
    x = 3,152.40

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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.