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Finding the Fourth Proportional to 4,142.80, 5,720.52 and 2,751.76

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Solution

The fourth proportional to 4,142.80, 5,720.52 and 2,751.76 is: 3,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.80 : 5,720.52 = 2,751.76 : x
  2. Step 2: Convert to fraction form
    4,142.80/5,720.52 = 2,751.76/x
  3. Step 3: Cross multiply
    4,142.80x = 5,720.52 × 2,751.76
  4. Step 4: Simplify right side
    4,142.80x = 15,741,498.12
  5. Step 5: Solve for x
    x = 15,741,498.12/4,142.80
  6. Step 6: Final answer
    x = 3,799.72

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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.