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Finding the Fourth Proportional to 5,981.44, 8,986.76 and 5,649.88

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Solution

The fourth proportional to 5,981.44, 8,986.76 and 5,649.88 is: 8,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.44 : 8,986.76 = 5,649.88 : x
  2. Step 2: Convert to fraction form
    5,981.44/8,986.76 = 5,649.88/x
  3. Step 3: Cross multiply
    5,981.44x = 8,986.76 × 5,649.88
  4. Step 4: Simplify right side
    5,981.44x = 50,774,115.59
  5. Step 5: Solve for x
    x = 50,774,115.59/5,981.44
  6. Step 6: Final answer
    x = 8,488.61

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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.