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Finding the Fourth Proportional to 3,902.54, 5,385.62 and 2,134.25

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Solution

The fourth proportional to 3,902.54, 5,385.62 and 2,134.25 is: 2,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.54 : 5,385.62 = 2,134.25 : x
  2. Step 2: Convert to fraction form
    3,902.54/5,385.62 = 2,134.25/x
  3. Step 3: Cross multiply
    3,902.54x = 5,385.62 × 2,134.25
  4. Step 4: Simplify right side
    3,902.54x = 11,494,237.89
  5. Step 5: Solve for x
    x = 11,494,237.89/3,902.54
  6. Step 6: Final answer
    x = 2,945.32

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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.