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Finding the Fourth Proportional to 5,171.27, 7,757.13 and 1,473.75

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Solution

The fourth proportional to 5,171.27, 7,757.13 and 1,473.75 is: 2,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.27 : 7,757.13 = 1,473.75 : x
  2. Step 2: Convert to fraction form
    5,171.27/7,757.13 = 1,473.75/x
  3. Step 3: Cross multiply
    5,171.27x = 7,757.13 × 1,473.75
  4. Step 4: Simplify right side
    5,171.27x = 11,432,070.34
  5. Step 5: Solve for x
    x = 11,432,070.34/5,171.27
  6. Step 6: Final answer
    x = 2,210.69

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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.