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Finding the Fourth Proportional to 3,325, 4,987.50 and 1,377.26

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Solution

The fourth proportional to 3,325, 4,987.50 and 1,377.26 is: 2,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325 : 4,987.50 = 1,377.26 : x
  2. Step 2: Convert to fraction form
    3,325/4,987.50 = 1,377.26/x
  3. Step 3: Cross multiply
    3,325x = 4,987.50 × 1,377.26
  4. Step 4: Simplify right side
    3,325x = 6,869,084.25
  5. Step 5: Solve for x
    x = 6,869,084.25/3,325
  6. Step 6: Final answer
    x = 2,065.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.