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Finding the Fourth Proportional to 3,763.85, 5,642.69 and 1,422.52

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Solution

The fourth proportional to 3,763.85, 5,642.69 and 1,422.52 is: 2,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.85 : 5,642.69 = 1,422.52 : x
  2. Step 2: Convert to fraction form
    3,763.85/5,642.69 = 1,422.52/x
  3. Step 3: Cross multiply
    3,763.85x = 5,642.69 × 1,422.52
  4. Step 4: Simplify right side
    3,763.85x = 8,026,839.38
  5. Step 5: Solve for x
    x = 8,026,839.38/3,763.85
  6. Step 6: Final answer
    x = 2,132.61

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