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Finding the Fourth Proportional to 3,851.62, 5,768.16 and 2,203.18

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Solution

The fourth proportional to 3,851.62, 5,768.16 and 2,203.18 is: 3,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.62 : 5,768.16 = 2,203.18 : x
  2. Step 2: Convert to fraction form
    3,851.62/5,768.16 = 2,203.18/x
  3. Step 3: Cross multiply
    3,851.62x = 5,768.16 × 2,203.18
  4. Step 4: Simplify right side
    3,851.62x = 12,708,294.75
  5. Step 5: Solve for x
    x = 12,708,294.75/3,851.62
  6. Step 6: Final answer
    x = 3,299.47

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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.