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Finding the Fourth Proportional to 5,765.50, 8,664.50 and 3,425.95

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Solution

The fourth proportional to 5,765.50, 8,664.50 and 3,425.95 is: 5,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.50 : 8,664.50 = 3,425.95 : x
  2. Step 2: Convert to fraction form
    5,765.50/8,664.50 = 3,425.95/x
  3. Step 3: Cross multiply
    5,765.50x = 8,664.50 × 3,425.95
  4. Step 4: Simplify right side
    5,765.50x = 29,684,143.78
  5. Step 5: Solve for x
    x = 29,684,143.78/5,765.50
  6. Step 6: Final answer
    x = 5,148.58

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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.