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Finding the Fourth Proportional to 3,474.90, 5,212.08 and 1,625.54

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Solution

The fourth proportional to 3,474.90, 5,212.08 and 1,625.54 is: 2,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.90 : 5,212.08 = 1,625.54 : x
  2. Step 2: Convert to fraction form
    3,474.90/5,212.08 = 1,625.54/x
  3. Step 3: Cross multiply
    3,474.90x = 5,212.08 × 1,625.54
  4. Step 4: Simplify right side
    3,474.90x = 8,472,418.46
  5. Step 5: Solve for x
    x = 8,472,418.46/3,474.90
  6. Step 6: Final answer
    x = 2,438.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.