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Finding the Fourth Proportional to 3,740.43, 5,159.90 and 2,854.70

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Solution

The fourth proportional to 3,740.43, 5,159.90 and 2,854.70 is: 3,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.43 : 5,159.90 = 2,854.70 : x
  2. Step 2: Convert to fraction form
    3,740.43/5,159.90 = 2,854.70/x
  3. Step 3: Cross multiply
    3,740.43x = 5,159.90 × 2,854.70
  4. Step 4: Simplify right side
    3,740.43x = 14,729,946.49
  5. Step 5: Solve for x
    x = 14,729,946.49/3,740.43
  6. Step 6: Final answer
    x = 3,938.03

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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.