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Finding the Fourth Proportional to 5,754.57, 8,618.01 and 3,281.90

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Solution

The fourth proportional to 5,754.57, 8,618.01 and 3,281.90 is: 4,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.57 : 8,618.01 = 3,281.90 : x
  2. Step 2: Convert to fraction form
    5,754.57/8,618.01 = 3,281.90/x
  3. Step 3: Cross multiply
    5,754.57x = 8,618.01 × 3,281.90
  4. Step 4: Simplify right side
    5,754.57x = 28,283,447.02
  5. Step 5: Solve for x
    x = 28,283,447.02/5,754.57
  6. Step 6: Final answer
    x = 4,914.95

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Why These Related Problems?

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