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Finding the Fourth Proportional to 5,737.60, 8,599.22 and 2,446.85

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Solution

The fourth proportional to 5,737.60, 8,599.22 and 2,446.85 is: 3,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.60 : 8,599.22 = 2,446.85 : x
  2. Step 2: Convert to fraction form
    5,737.60/8,599.22 = 2,446.85/x
  3. Step 3: Cross multiply
    5,737.60x = 8,599.22 × 2,446.85
  4. Step 4: Simplify right side
    5,737.60x = 21,041,029.07
  5. Step 5: Solve for x
    x = 21,041,029.07/5,737.60
  6. Step 6: Final answer
    x = 3,667.22

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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.