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Finding the Fourth Proportional to 5,791.10, 8,678.55 and 4,057.70

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Solution

The fourth proportional to 5,791.10, 8,678.55 and 4,057.70 is: 6,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.10 : 8,678.55 = 4,057.70 : x
  2. Step 2: Convert to fraction form
    5,791.10/8,678.55 = 4,057.70/x
  3. Step 3: Cross multiply
    5,791.10x = 8,678.55 × 4,057.70
  4. Step 4: Simplify right side
    5,791.10x = 35,214,952.34
  5. Step 5: Solve for x
    x = 35,214,952.34/5,791.10
  6. Step 6: Final answer
    x = 6,080.87

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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.