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Finding the Fourth Proportional to 6,103.19, 8,422.02 and 3,414.18

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Solution

The fourth proportional to 6,103.19, 8,422.02 and 3,414.18 is: 4,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.19 : 8,422.02 = 3,414.18 : x
  2. Step 2: Convert to fraction form
    6,103.19/8,422.02 = 3,414.18/x
  3. Step 3: Cross multiply
    6,103.19x = 8,422.02 × 3,414.18
  4. Step 4: Simplify right side
    6,103.19x = 28,754,292.24
  5. Step 5: Solve for x
    x = 28,754,292.24/6,103.19
  6. Step 6: Final answer
    x = 4,711.36

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