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Finding the Fourth Proportional to 3,509.68, 5,252.29 and 2,174.85

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Solution

The fourth proportional to 3,509.68, 5,252.29 and 2,174.85 is: 3,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.68 : 5,252.29 = 2,174.85 : x
  2. Step 2: Convert to fraction form
    3,509.68/5,252.29 = 2,174.85/x
  3. Step 3: Cross multiply
    3,509.68x = 5,252.29 × 2,174.85
  4. Step 4: Simplify right side
    3,509.68x = 11,422,949.70
  5. Step 5: Solve for x
    x = 11,422,949.70/3,509.68
  6. Step 6: Final answer
    x = 3,254.70

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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.