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Finding the Fourth Proportional to 8,591.33, 12,874.83 and 3,656.00

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Solution

The fourth proportional to 8,591.33, 12,874.83 and 3,656.00 is: 5,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.33 : 12,874.83 = 3,656.00 : x
  2. Step 2: Convert to fraction form
    8,591.33/12,874.83 = 3,656.00/x
  3. Step 3: Cross multiply
    8,591.33x = 12,874.83 × 3,656.00
  4. Step 4: Simplify right side
    8,591.33x = 47,070,314.11
  5. Step 5: Solve for x
    x = 47,070,314.11/8,591.33
  6. Step 6: Final answer
    x = 5,478.82

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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.