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Finding the Fourth Proportional to 3,207.70, 4,429.13 and 2,460.48

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Solution

The fourth proportional to 3,207.70, 4,429.13 and 2,460.48 is: 3,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.70 : 4,429.13 = 2,460.48 : x
  2. Step 2: Convert to fraction form
    3,207.70/4,429.13 = 2,460.48/x
  3. Step 3: Cross multiply
    3,207.70x = 4,429.13 × 2,460.48
  4. Step 4: Simplify right side
    3,207.70x = 10,897,770.71
  5. Step 5: Solve for x
    x = 10,897,770.71/3,207.70
  6. Step 6: Final answer
    x = 3,397.38

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Why These Related Problems?

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