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Finding the Fourth Proportional to 4,003.64, 6,002.71 and 2,152.90

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Solution

The fourth proportional to 4,003.64, 6,002.71 and 2,152.90 is: 3,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.64 : 6,002.71 = 2,152.90 : x
  2. Step 2: Convert to fraction form
    4,003.64/6,002.71 = 2,152.90/x
  3. Step 3: Cross multiply
    4,003.64x = 6,002.71 × 2,152.90
  4. Step 4: Simplify right side
    4,003.64x = 12,923,202.71
  5. Step 5: Solve for x
    x = 12,923,202.71/4,003.64
  6. Step 6: Final answer
    x = 3,227.86

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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.