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Finding the Fourth Proportional to 5,854.82, 8,791.13 and 5,114.00

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Solution

The fourth proportional to 5,854.82, 8,791.13 and 5,114.00 is: 7,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.82 : 8,791.13 = 5,114.00 : x
  2. Step 2: Convert to fraction form
    5,854.82/8,791.13 = 5,114.00/x
  3. Step 3: Cross multiply
    5,854.82x = 8,791.13 × 5,114.00
  4. Step 4: Simplify right side
    5,854.82x = 44,957,873.58
  5. Step 5: Solve for x
    x = 44,957,873.58/5,854.82
  6. Step 6: Final answer
    x = 7,678.79

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Why These Related Problems?

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