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Finding the Fourth Proportional to 3,006.74, 4,147.22 and 2,758.88

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Solution

The fourth proportional to 3,006.74, 4,147.22 and 2,758.88 is: 3,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.74 : 4,147.22 = 2,758.88 : x
  2. Step 2: Convert to fraction form
    3,006.74/4,147.22 = 2,758.88/x
  3. Step 3: Cross multiply
    3,006.74x = 4,147.22 × 2,758.88
  4. Step 4: Simplify right side
    3,006.74x = 11,441,668.52
  5. Step 5: Solve for x
    x = 11,441,668.52/3,006.74
  6. Step 6: Final answer
    x = 3,805.34

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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.