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Finding the Fourth Proportional to 5,891.54, 8,823.87 and 2,815.70

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Solution

The fourth proportional to 5,891.54, 8,823.87 and 2,815.70 is: 4,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.54 : 8,823.87 = 2,815.70 : x
  2. Step 2: Convert to fraction form
    5,891.54/8,823.87 = 2,815.70/x
  3. Step 3: Cross multiply
    5,891.54x = 8,823.87 × 2,815.70
  4. Step 4: Simplify right side
    5,891.54x = 24,845,370.76
  5. Step 5: Solve for x
    x = 24,845,370.76/5,891.54
  6. Step 6: Final answer
    x = 4,217.13

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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.