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Finding the Fourth Proportional to 3,652.70, 5,474.92 and 1,799.93

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Solution

The fourth proportional to 3,652.70, 5,474.92 and 1,799.93 is: 2,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.70 : 5,474.92 = 1,799.93 : x
  2. Step 2: Convert to fraction form
    3,652.70/5,474.92 = 1,799.93/x
  3. Step 3: Cross multiply
    3,652.70x = 5,474.92 × 1,799.93
  4. Step 4: Simplify right side
    3,652.70x = 9,854,472.76
  5. Step 5: Solve for x
    x = 9,854,472.76/3,652.70
  6. Step 6: Final answer
    x = 2,697.86

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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.