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Finding the Fourth Proportional to 3,397.02, 5,098.41 and 1,346.46

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Solution

The fourth proportional to 3,397.02, 5,098.41 and 1,346.46 is: 2,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.02 : 5,098.41 = 1,346.46 : x
  2. Step 2: Convert to fraction form
    3,397.02/5,098.41 = 1,346.46/x
  3. Step 3: Cross multiply
    3,397.02x = 5,098.41 × 1,346.46
  4. Step 4: Simplify right side
    3,397.02x = 6,864,805.13
  5. Step 5: Solve for x
    x = 6,864,805.13/3,397.02
  6. Step 6: Final answer
    x = 2,020.83

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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.