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Finding the Fourth Proportional to 6,294.96, 8,686.95 and 3,642.31

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Solution

The fourth proportional to 6,294.96, 8,686.95 and 3,642.31 is: 5,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.96 : 8,686.95 = 3,642.31 : x
  2. Step 2: Convert to fraction form
    6,294.96/8,686.95 = 3,642.31/x
  3. Step 3: Cross multiply
    6,294.96x = 8,686.95 × 3,642.31
  4. Step 4: Simplify right side
    6,294.96x = 31,640,564.85
  5. Step 5: Solve for x
    x = 31,640,564.85/6,294.96
  6. Step 6: Final answer
    x = 5,026.33

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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.