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Finding the Fourth Proportional to 3,874.90, 5,347.36 and 2,196.42

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Solution

The fourth proportional to 3,874.90, 5,347.36 and 2,196.42 is: 3,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.90 : 5,347.36 = 2,196.42 : x
  2. Step 2: Convert to fraction form
    3,874.90/5,347.36 = 2,196.42/x
  3. Step 3: Cross multiply
    3,874.90x = 5,347.36 × 2,196.42
  4. Step 4: Simplify right side
    3,874.90x = 11,745,048.45
  5. Step 5: Solve for x
    x = 11,745,048.45/3,874.90
  6. Step 6: Final answer
    x = 3,031.06

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1.5x scale

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.