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Finding the Fourth Proportional to 4,101.03, 6,169.77 and 4,042.71

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Solution

The fourth proportional to 4,101.03, 6,169.77 and 4,042.71 is: 6,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.03 : 6,169.77 = 4,042.71 : x
  2. Step 2: Convert to fraction form
    4,101.03/6,169.77 = 4,042.71/x
  3. Step 3: Cross multiply
    4,101.03x = 6,169.77 × 4,042.71
  4. Step 4: Simplify right side
    4,101.03x = 24,942,590.88
  5. Step 5: Solve for x
    x = 24,942,590.88/4,101.03
  6. Step 6: Final answer
    x = 6,082.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.