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Finding the Fourth Proportional to 3,474.86, 4,795.30 and 1,902.95

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Solution

The fourth proportional to 3,474.86, 4,795.30 and 1,902.95 is: 2,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.86 : 4,795.30 = 1,902.95 : x
  2. Step 2: Convert to fraction form
    3,474.86/4,795.30 = 1,902.95/x
  3. Step 3: Cross multiply
    3,474.86x = 4,795.30 × 1,902.95
  4. Step 4: Simplify right side
    3,474.86x = 9,125,216.14
  5. Step 5: Solve for x
    x = 9,125,216.14/3,474.86
  6. Step 6: Final answer
    x = 2,626.07

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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.