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Finding the Fourth Proportional to 3,737.60, 5,601.60 and 2,867.60

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Solution

The fourth proportional to 3,737.60, 5,601.60 and 2,867.60 is: 4,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.60 : 5,601.60 = 2,867.60 : x
  2. Step 2: Convert to fraction form
    3,737.60/5,601.60 = 2,867.60/x
  3. Step 3: Cross multiply
    3,737.60x = 5,601.60 × 2,867.60
  4. Step 4: Simplify right side
    3,737.60x = 16,063,148.16
  5. Step 5: Solve for x
    x = 16,063,148.16/3,737.60
  6. Step 6: Final answer
    x = 4,297.72

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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.