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Finding the Fourth Proportional to 3,171.24, 4,731.72 and 3,152.88

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Solution

The fourth proportional to 3,171.24, 4,731.72 and 3,152.88 is: 4,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.24 : 4,731.72 = 3,152.88 : x
  2. Step 2: Convert to fraction form
    3,171.24/4,731.72 = 3,152.88/x
  3. Step 3: Cross multiply
    3,171.24x = 4,731.72 × 3,152.88
  4. Step 4: Simplify right side
    3,171.24x = 14,918,545.35
  5. Step 5: Solve for x
    x = 14,918,545.35/3,171.24
  6. Step 6: Final answer
    x = 4,704.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.