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Finding the Fourth Proportional to 6,370.28, 8,791.38 and 4,242.14

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Solution

The fourth proportional to 6,370.28, 8,791.38 and 4,242.14 is: 5,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.28 : 8,791.38 = 4,242.14 : x
  2. Step 2: Convert to fraction form
    6,370.28/8,791.38 = 4,242.14/x
  3. Step 3: Cross multiply
    6,370.28x = 8,791.38 × 4,242.14
  4. Step 4: Simplify right side
    6,370.28x = 37,294,264.75
  5. Step 5: Solve for x
    x = 37,294,264.75/6,370.28
  6. Step 6: Final answer
    x = 5,854.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.