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Finding the Fourth Proportional to 3,713.79, 5,124.60 and 2,221.38

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Solution

The fourth proportional to 3,713.79, 5,124.60 and 2,221.38 is: 3,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.79 : 5,124.60 = 2,221.38 : x
  2. Step 2: Convert to fraction form
    3,713.79/5,124.60 = 2,221.38/x
  3. Step 3: Cross multiply
    3,713.79x = 5,124.60 × 2,221.38
  4. Step 4: Simplify right side
    3,713.79x = 11,383,683.95
  5. Step 5: Solve for x
    x = 11,383,683.95/3,713.79
  6. Step 6: Final answer
    x = 3,065.25

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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.