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Finding the Fourth Proportional to 5,938.71, 8,196.03 and 3,420.92

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Solution

The fourth proportional to 5,938.71, 8,196.03 and 3,420.92 is: 4,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.71 : 8,196.03 = 3,420.92 : x
  2. Step 2: Convert to fraction form
    5,938.71/8,196.03 = 3,420.92/x
  3. Step 3: Cross multiply
    5,938.71x = 8,196.03 × 3,420.92
  4. Step 4: Simplify right side
    5,938.71x = 28,037,921.97
  5. Step 5: Solve for x
    x = 28,037,921.97/5,938.71
  6. Step 6: Final answer
    x = 4,721.21

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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.