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Finding the Fourth Proportional to 3,399.16, 5,098.74 and 933.90

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Solution

The fourth proportional to 3,399.16, 5,098.74 and 933.90 is: 1,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.16 : 5,098.74 = 933.90 : x
  2. Step 2: Convert to fraction form
    3,399.16/5,098.74 = 933.90/x
  3. Step 3: Cross multiply
    3,399.16x = 5,098.74 × 933.90
  4. Step 4: Simplify right side
    3,399.16x = 4,761,713.29
  5. Step 5: Solve for x
    x = 4,761,713.29/3,399.16
  6. Step 6: Final answer
    x = 1,400.85

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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.