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Finding the Fourth Proportional to 3,902.67, 5,385.67 and 2,134.28

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Solution

The fourth proportional to 3,902.67, 5,385.67 and 2,134.28 is: 2,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.67 : 5,385.67 = 2,134.28 : x
  2. Step 2: Convert to fraction form
    3,902.67/5,385.67 = 2,134.28/x
  3. Step 3: Cross multiply
    3,902.67x = 5,385.67 × 2,134.28
  4. Step 4: Simplify right side
    3,902.67x = 11,494,527.77
  5. Step 5: Solve for x
    x = 11,494,527.77/3,902.67
  6. Step 6: Final answer
    x = 2,945.30

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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.