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Finding the Fourth Proportional to 5,281.59, 7,922.58 and 1,385.88

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Solution

The fourth proportional to 5,281.59, 7,922.58 and 1,385.88 is: 2,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.59 : 7,922.58 = 1,385.88 : x
  2. Step 2: Convert to fraction form
    5,281.59/7,922.58 = 1,385.88/x
  3. Step 3: Cross multiply
    5,281.59x = 7,922.58 × 1,385.88
  4. Step 4: Simplify right side
    5,281.59x = 10,979,745.17
  5. Step 5: Solve for x
    x = 10,979,745.17/5,281.59
  6. Step 6: Final answer
    x = 2,078.87

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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.