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Finding the Fourth Proportional to 3,325, 4,584.54 and 2,909.56

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Solution

The fourth proportional to 3,325, 4,584.54 and 2,909.56 is: 4,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325 : 4,584.54 = 2,909.56 : x
  2. Step 2: Convert to fraction form
    3,325/4,584.54 = 2,909.56/x
  3. Step 3: Cross multiply
    3,325x = 4,584.54 × 2,909.56
  4. Step 4: Simplify right side
    3,325x = 13,338,994.20
  5. Step 5: Solve for x
    x = 13,338,994.20/3,325
  6. Step 6: Final answer
    x = 4,011.73

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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.