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Finding the Fourth Proportional to 3,500.32, 5,251.92 and 1,770.16

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Solution

The fourth proportional to 3,500.32, 5,251.92 and 1,770.16 is: 2,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.32 : 5,251.92 = 1,770.16 : x
  2. Step 2: Convert to fraction form
    3,500.32/5,251.92 = 1,770.16/x
  3. Step 3: Cross multiply
    3,500.32x = 5,251.92 × 1,770.16
  4. Step 4: Simplify right side
    3,500.32x = 9,296,738.71
  5. Step 5: Solve for x
    x = 9,296,738.71/3,500.32
  6. Step 6: Final answer
    x = 2,655.97

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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.