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Finding the Fourth Proportional to 3,709.87, 5,117.98 and 2,217.04

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Solution

The fourth proportional to 3,709.87, 5,117.98 and 2,217.04 is: 3,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.87 : 5,117.98 = 2,217.04 : x
  2. Step 2: Convert to fraction form
    3,709.87/5,117.98 = 2,217.04/x
  3. Step 3: Cross multiply
    3,709.87x = 5,117.98 × 2,217.04
  4. Step 4: Simplify right side
    3,709.87x = 11,346,766.38
  5. Step 5: Solve for x
    x = 11,346,766.38/3,709.87
  6. Step 6: Final answer
    x = 3,058.53

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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.