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Finding the Fourth Proportional to 5,616.95, 8,414.79 and 3,153.53

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Solution

The fourth proportional to 5,616.95, 8,414.79 and 3,153.53 is: 4,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.95 : 8,414.79 = 3,153.53 : x
  2. Step 2: Convert to fraction form
    5,616.95/8,414.79 = 3,153.53/x
  3. Step 3: Cross multiply
    5,616.95x = 8,414.79 × 3,153.53
  4. Step 4: Simplify right side
    5,616.95x = 26,536,301.92
  5. Step 5: Solve for x
    x = 26,536,301.92/5,616.95
  6. Step 6: Final answer
    x = 4,724.33

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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.