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Finding the Fourth Proportional to 3,474.70, 4,795.12 and 1,902.76

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Solution

The fourth proportional to 3,474.70, 4,795.12 and 1,902.76 is: 2,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.70 : 4,795.12 = 1,902.76 : x
  2. Step 2: Convert to fraction form
    3,474.70/4,795.12 = 1,902.76/x
  3. Step 3: Cross multiply
    3,474.70x = 4,795.12 × 1,902.76
  4. Step 4: Simplify right side
    3,474.70x = 9,123,962.53
  5. Step 5: Solve for x
    x = 9,123,962.53/3,474.70
  6. Step 6: Final answer
    x = 2,625.83

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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.