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Finding the Fourth Proportional to 3,398.65, 5,105.79 and 2,400.30

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Solution

The fourth proportional to 3,398.65, 5,105.79 and 2,400.30 is: 3,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.65 : 5,105.79 = 2,400.30 : x
  2. Step 2: Convert to fraction form
    3,398.65/5,105.79 = 2,400.30/x
  3. Step 3: Cross multiply
    3,398.65x = 5,105.79 × 2,400.30
  4. Step 4: Simplify right side
    3,398.65x = 12,255,427.74
  5. Step 5: Solve for x
    x = 12,255,427.74/3,398.65
  6. Step 6: Final answer
    x = 3,605.97

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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.