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Finding the Fourth Proportional to 3,747.88, 5,171.07 and 2,421.10

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Solution

The fourth proportional to 3,747.88, 5,171.07 and 2,421.10 is: 3,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.88 : 5,171.07 = 2,421.10 : x
  2. Step 2: Convert to fraction form
    3,747.88/5,171.07 = 2,421.10/x
  3. Step 3: Cross multiply
    3,747.88x = 5,171.07 × 2,421.10
  4. Step 4: Simplify right side
    3,747.88x = 12,519,677.58
  5. Step 5: Solve for x
    x = 12,519,677.58/3,747.88
  6. Step 6: Final answer
    x = 3,340.47

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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.