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Finding the Fourth Proportional to 3,474.71, 4,795.08 and 1,902.77

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Solution

The fourth proportional to 3,474.71, 4,795.08 and 1,902.77 is: 2,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.71 : 4,795.08 = 1,902.77 : x
  2. Step 2: Convert to fraction form
    3,474.71/4,795.08 = 1,902.77/x
  3. Step 3: Cross multiply
    3,474.71x = 4,795.08 × 1,902.77
  4. Step 4: Simplify right side
    3,474.71x = 9,123,934.37
  5. Step 5: Solve for x
    x = 9,123,934.37/3,474.71
  6. Step 6: Final answer
    x = 2,625.81

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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.