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Finding the Fourth Proportional to 3,713.63, 5,124.80 and 2,221.61

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Solution

The fourth proportional to 3,713.63, 5,124.80 and 2,221.61 is: 3,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.63 : 5,124.80 = 2,221.61 : x
  2. Step 2: Convert to fraction form
    3,713.63/5,124.80 = 2,221.61/x
  3. Step 3: Cross multiply
    3,713.63x = 5,124.80 × 2,221.61
  4. Step 4: Simplify right side
    3,713.63x = 11,385,286.86
  5. Step 5: Solve for x
    x = 11,385,286.86/3,713.63
  6. Step 6: Final answer
    x = 3,065.81

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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.