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Finding the Fourth Proportional to 3,974.59, 5,962.16 and 1,894.24

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Solution

The fourth proportional to 3,974.59, 5,962.16 and 1,894.24 is: 2,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.59 : 5,962.16 = 1,894.24 : x
  2. Step 2: Convert to fraction form
    3,974.59/5,962.16 = 1,894.24/x
  3. Step 3: Cross multiply
    3,974.59x = 5,962.16 × 1,894.24
  4. Step 4: Simplify right side
    3,974.59x = 11,293,761.96
  5. Step 5: Solve for x
    x = 11,293,761.96/3,974.59
  6. Step 6: Final answer
    x = 2,841.49

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1.5x scale

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.