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Finding the Fourth Proportional to 6,426.17, 8,869.20 and 3,738.95

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Solution

The fourth proportional to 6,426.17, 8,869.20 and 3,738.95 is: 5,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.17 : 8,869.20 = 3,738.95 : x
  2. Step 2: Convert to fraction form
    6,426.17/8,869.20 = 3,738.95/x
  3. Step 3: Cross multiply
    6,426.17x = 8,869.20 × 3,738.95
  4. Step 4: Simplify right side
    6,426.17x = 33,161,466.32
  5. Step 5: Solve for x
    x = 33,161,466.32/6,426.17
  6. Step 6: Final answer
    x = 5,160.38

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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.