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Finding the Fourth Proportional to 6,000.48, 8,279.82 and 3,642.57

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Solution

The fourth proportional to 6,000.48, 8,279.82 and 3,642.57 is: 5,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.48 : 8,279.82 = 3,642.57 : x
  2. Step 2: Convert to fraction form
    6,000.48/8,279.82 = 3,642.57/x
  3. Step 3: Cross multiply
    6,000.48x = 8,279.82 × 3,642.57
  4. Step 4: Simplify right side
    6,000.48x = 30,159,823.94
  5. Step 5: Solve for x
    x = 30,159,823.94/6,000.48
  6. Step 6: Final answer
    x = 5,026.24

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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.