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Finding the Fourth Proportional to 5,996.91, 8,278.65 and 4,649.52

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Solution

The fourth proportional to 5,996.91, 8,278.65 and 4,649.52 is: 6,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.91 : 8,278.65 = 4,649.52 : x
  2. Step 2: Convert to fraction form
    5,996.91/8,278.65 = 4,649.52/x
  3. Step 3: Cross multiply
    5,996.91x = 8,278.65 × 4,649.52
  4. Step 4: Simplify right side
    5,996.91x = 38,491,748.75
  5. Step 5: Solve for x
    x = 38,491,748.75/5,996.91
  6. Step 6: Final answer
    x = 6,418.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.