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Finding the Fourth Proportional to 5,938.92, 8,193.20 and 3,420.43

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Solution

The fourth proportional to 5,938.92, 8,193.20 and 3,420.43 is: 4,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.92 : 8,193.20 = 3,420.43 : x
  2. Step 2: Convert to fraction form
    5,938.92/8,193.20 = 3,420.43/x
  3. Step 3: Cross multiply
    5,938.92x = 8,193.20 × 3,420.43
  4. Step 4: Simplify right side
    5,938.92x = 28,024,275.63
  5. Step 5: Solve for x
    x = 28,024,275.63/5,938.92
  6. Step 6: Final answer
    x = 4,718.75

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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.