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Finding the Fourth Proportional to 5,902.49, 8,143.60 and 3,349.83

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Solution

The fourth proportional to 5,902.49, 8,143.60 and 3,349.83 is: 4,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.49 : 8,143.60 = 3,349.83 : x
  2. Step 2: Convert to fraction form
    5,902.49/8,143.60 = 3,349.83/x
  3. Step 3: Cross multiply
    5,902.49x = 8,143.60 × 3,349.83
  4. Step 4: Simplify right side
    5,902.49x = 27,279,667.65
  5. Step 5: Solve for x
    x = 27,279,667.65/5,902.49
  6. Step 6: Final answer
    x = 4,621.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.