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Finding the Fourth Proportional to 3,713.74, 5,125.40 and 2,221.64

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Solution

The fourth proportional to 3,713.74, 5,125.40 and 2,221.64 is: 3,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.74 : 5,125.40 = 2,221.64 : x
  2. Step 2: Convert to fraction form
    3,713.74/5,125.40 = 2,221.64/x
  3. Step 3: Cross multiply
    3,713.74x = 5,125.40 × 2,221.64
  4. Step 4: Simplify right side
    3,713.74x = 11,386,793.66
  5. Step 5: Solve for x
    x = 11,386,793.66/3,713.74
  6. Step 6: Final answer
    x = 3,066.13

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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.