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Finding the Fourth Proportional to 5,882.37, 8,826.65 and 2,597.73

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Solution

The fourth proportional to 5,882.37, 8,826.65 and 2,597.73 is: 3,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.37 : 8,826.65 = 2,597.73 : x
  2. Step 2: Convert to fraction form
    5,882.37/8,826.65 = 2,597.73/x
  3. Step 3: Cross multiply
    5,882.37x = 8,826.65 × 2,597.73
  4. Step 4: Simplify right side
    5,882.37x = 22,929,253.50
  5. Step 5: Solve for x
    x = 22,929,253.50/5,882.37
  6. Step 6: Final answer
    x = 3,897.96

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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.