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Finding the Fourth Proportional to 3,474.77, 4,795.00 and 1,902.56

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Solution

The fourth proportional to 3,474.77, 4,795.00 and 1,902.56 is: 2,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.77 : 4,795.00 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    3,474.77/4,795.00 = 1,902.56/x
  3. Step 3: Cross multiply
    3,474.77x = 4,795.00 × 1,902.56
  4. Step 4: Simplify right side
    3,474.77x = 9,122,746.47
  5. Step 5: Solve for x
    x = 9,122,746.47/3,474.77
  6. Step 6: Final answer
    x = 2,625.43

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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.