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Finding the Fourth Proportional to 3,737.06, 5,155.90 and 2,411.64

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Solution

The fourth proportional to 3,737.06, 5,155.90 and 2,411.64 is: 3,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.06 : 5,155.90 = 2,411.64 : x
  2. Step 2: Convert to fraction form
    3,737.06/5,155.90 = 2,411.64/x
  3. Step 3: Cross multiply
    3,737.06x = 5,155.90 × 2,411.64
  4. Step 4: Simplify right side
    3,737.06x = 12,434,168.65
  5. Step 5: Solve for x
    x = 12,434,168.65/3,737.06
  6. Step 6: Final answer
    x = 3,327.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.