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Finding the Fourth Proportional to 3,546.59, 5,306.91 and 2,886.90

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Solution

The fourth proportional to 3,546.59, 5,306.91 and 2,886.90 is: 4,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.59 : 5,306.91 = 2,886.90 : x
  2. Step 2: Convert to fraction form
    3,546.59/5,306.91 = 2,886.90/x
  3. Step 3: Cross multiply
    3,546.59x = 5,306.91 × 2,886.90
  4. Step 4: Simplify right side
    3,546.59x = 15,320,550.32
  5. Step 5: Solve for x
    x = 15,320,550.32/3,546.59
  6. Step 6: Final answer
    x = 4,319.79

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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.