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Finding the Fourth Proportional to 3,988.42, 5,503.42 and 2,286.68

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Solution

The fourth proportional to 3,988.42, 5,503.42 and 2,286.68 is: 3,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.42 : 5,503.42 = 2,286.68 : x
  2. Step 2: Convert to fraction form
    3,988.42/5,503.42 = 2,286.68/x
  3. Step 3: Cross multiply
    3,988.42x = 5,503.42 × 2,286.68
  4. Step 4: Simplify right side
    3,988.42x = 12,584,560.45
  5. Step 5: Solve for x
    x = 12,584,560.45/3,988.42
  6. Step 6: Final answer
    x = 3,155.27

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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.