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Finding the Fourth Proportional to 3,500.71, 5,250.31 and 1,034.98

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Solution

The fourth proportional to 3,500.71, 5,250.31 and 1,034.98 is: 1,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.71 : 5,250.31 = 1,034.98 : x
  2. Step 2: Convert to fraction form
    3,500.71/5,250.31 = 1,034.98/x
  3. Step 3: Cross multiply
    3,500.71x = 5,250.31 × 1,034.98
  4. Step 4: Simplify right side
    3,500.71x = 5,433,950.13
  5. Step 5: Solve for x
    x = 5,433,950.13/3,500.71
  6. Step 6: Final answer
    x = 1,552.24

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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.