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Finding the Fourth Proportional to 3,853.70, 5,768.03 and 2,002.17

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Solution

The fourth proportional to 3,853.70, 5,768.03 and 2,002.17 is: 2,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.70 : 5,768.03 = 2,002.17 : x
  2. Step 2: Convert to fraction form
    3,853.70/5,768.03 = 2,002.17/x
  3. Step 3: Cross multiply
    3,853.70x = 5,768.03 × 2,002.17
  4. Step 4: Simplify right side
    3,853.70x = 11,548,566.61
  5. Step 5: Solve for x
    x = 11,548,566.61/3,853.70
  6. Step 6: Final answer
    x = 2,996.75

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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.