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Finding the Fourth Proportional to 3,449.71, 5,174.52 and 1,501.87

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Solution

The fourth proportional to 3,449.71, 5,174.52 and 1,501.87 is: 2,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.71 : 5,174.52 = 1,501.87 : x
  2. Step 2: Convert to fraction form
    3,449.71/5,174.52 = 1,501.87/x
  3. Step 3: Cross multiply
    3,449.71x = 5,174.52 × 1,501.87
  4. Step 4: Simplify right side
    3,449.71x = 7,771,456.35
  5. Step 5: Solve for x
    x = 7,771,456.35/3,449.71
  6. Step 6: Final answer
    x = 2,252.79

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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.