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Finding the Fourth Proportional to 5,701.82, 8,546.25 and 2,412.86

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Solution

The fourth proportional to 5,701.82, 8,546.25 and 2,412.86 is: 3,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.82 : 8,546.25 = 2,412.86 : x
  2. Step 2: Convert to fraction form
    5,701.82/8,546.25 = 2,412.86/x
  3. Step 3: Cross multiply
    5,701.82x = 8,546.25 × 2,412.86
  4. Step 4: Simplify right side
    5,701.82x = 20,620,904.78
  5. Step 5: Solve for x
    x = 20,620,904.78/5,701.82
  6. Step 6: Final answer
    x = 3,616.55

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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.