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Finding the Fourth Proportional to 6,102, 8,422.38 and 5,862.24

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Solution

The fourth proportional to 6,102, 8,422.38 and 5,862.24 is: 8,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 8,422.38 = 5,862.24 : x
  2. Step 2: Convert to fraction form
    6,102/8,422.38 = 5,862.24/x
  3. Step 3: Cross multiply
    6,102x = 8,422.38 × 5,862.24
  4. Step 4: Simplify right side
    6,102x = 49,374,012.93
  5. Step 5: Solve for x
    x = 49,374,012.93/6,102
  6. Step 6: Final answer
    x = 8,091.45

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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.