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Finding the Fourth Proportional to 3,902.36, 5,385.24 and 2,134

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Solution

The fourth proportional to 3,902.36, 5,385.24 and 2,134 is: 2,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.36 : 5,385.24 = 2,134 : x
  2. Step 2: Convert to fraction form
    3,902.36/5,385.24 = 2,134/x
  3. Step 3: Cross multiply
    3,902.36x = 5,385.24 × 2,134
  4. Step 4: Simplify right side
    3,902.36x = 11,492,102.16
  5. Step 5: Solve for x
    x = 11,492,102.16/3,902.36
  6. Step 6: Final answer
    x = 2,944.91

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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.