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Finding the Fourth Proportional to 5,714.46, 8,568.22 and 3,737.70

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Solution

The fourth proportional to 5,714.46, 8,568.22 and 3,737.70 is: 5,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.46 : 8,568.22 = 3,737.70 : x
  2. Step 2: Convert to fraction form
    5,714.46/8,568.22 = 3,737.70/x
  3. Step 3: Cross multiply
    5,714.46x = 8,568.22 × 3,737.70
  4. Step 4: Simplify right side
    5,714.46x = 32,025,435.89
  5. Step 5: Solve for x
    x = 32,025,435.89/5,714.46
  6. Step 6: Final answer
    x = 5,604.28

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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.