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Finding the Fourth Proportional to 3,709.87, 5,565.48 and 1,862.26

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Solution

The fourth proportional to 3,709.87, 5,565.48 and 1,862.26 is: 2,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.87 : 5,565.48 = 1,862.26 : x
  2. Step 2: Convert to fraction form
    3,709.87/5,565.48 = 1,862.26/x
  3. Step 3: Cross multiply
    3,709.87x = 5,565.48 × 1,862.26
  4. Step 4: Simplify right side
    3,709.87x = 10,364,356.87
  5. Step 5: Solve for x
    x = 10,364,356.87/3,709.87
  6. Step 6: Final answer
    x = 2,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.