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Finding the Fourth Proportional to 4,493.95, 6,202.76 and 2,902.38

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Solution

The fourth proportional to 4,493.95, 6,202.76 and 2,902.38 is: 4,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.95 : 6,202.76 = 2,902.38 : x
  2. Step 2: Convert to fraction form
    4,493.95/6,202.76 = 2,902.38/x
  3. Step 3: Cross multiply
    4,493.95x = 6,202.76 × 2,902.38
  4. Step 4: Simplify right side
    4,493.95x = 18,002,728.30
  5. Step 5: Solve for x
    x = 18,002,728.30/4,493.95
  6. Step 6: Final answer
    x = 4,005.99

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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.