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Finding the Fourth Proportional to 3,398.90, 5,098.43 and 1,207.65

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Solution

The fourth proportional to 3,398.90, 5,098.43 and 1,207.65 is: 1,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.90 : 5,098.43 = 1,207.65 : x
  2. Step 2: Convert to fraction form
    3,398.90/5,098.43 = 1,207.65/x
  3. Step 3: Cross multiply
    3,398.90x = 5,098.43 × 1,207.65
  4. Step 4: Simplify right side
    3,398.90x = 6,157,118.99
  5. Step 5: Solve for x
    x = 6,157,118.99/3,398.90
  6. Step 6: Final answer
    x = 1,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.