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Finding the Fourth Proportional to 3,434.08, 4,737 and 2,192.08

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Solution

The fourth proportional to 3,434.08, 4,737 and 2,192.08 is: 3,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.08 : 4,737 = 2,192.08 : x
  2. Step 2: Convert to fraction form
    3,434.08/4,737 = 2,192.08/x
  3. Step 3: Cross multiply
    3,434.08x = 4,737 × 2,192.08
  4. Step 4: Simplify right side
    3,434.08x = 10,383,882.96
  5. Step 5: Solve for x
    x = 10,383,882.96/3,434.08
  6. Step 6: Final answer
    x = 3,023.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.