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Finding the Fourth Proportional to 3,938.80, 5,434.02 and 2,259.60

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Solution

The fourth proportional to 3,938.80, 5,434.02 and 2,259.60 is: 3,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.80 : 5,434.02 = 2,259.60 : x
  2. Step 2: Convert to fraction form
    3,938.80/5,434.02 = 2,259.60/x
  3. Step 3: Cross multiply
    3,938.80x = 5,434.02 × 2,259.60
  4. Step 4: Simplify right side
    3,938.80x = 12,278,711.59
  5. Step 5: Solve for x
    x = 12,278,711.59/3,938.80
  6. Step 6: Final answer
    x = 3,117.38

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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.