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Finding the Fourth Proportional to 3,399.42, 5,098.52 and 933.92

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Solution

The fourth proportional to 3,399.42, 5,098.52 and 933.92 is: 1,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.42 : 5,098.52 = 933.92 : x
  2. Step 2: Convert to fraction form
    3,399.42/5,098.52 = 933.92/x
  3. Step 3: Cross multiply
    3,399.42x = 5,098.52 × 933.92
  4. Step 4: Simplify right side
    3,399.42x = 4,761,584.31
  5. Step 5: Solve for x
    x = 4,761,584.31/3,399.42
  6. Step 6: Final answer
    x = 1,400.70

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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.