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Finding the Fourth Proportional to 5,938.92, 8,909.40 and 2,042.40

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Solution

The fourth proportional to 5,938.92, 8,909.40 and 2,042.40 is: 3,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.92 : 8,909.40 = 2,042.40 : x
  2. Step 2: Convert to fraction form
    5,938.92/8,909.40 = 2,042.40/x
  3. Step 3: Cross multiply
    5,938.92x = 8,909.40 × 2,042.40
  4. Step 4: Simplify right side
    5,938.92x = 18,196,558.56
  5. Step 5: Solve for x
    x = 18,196,558.56/5,938.92
  6. Step 6: Final answer
    x = 3,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.