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Finding the Fourth Proportional to 3,604.75, 4,974.56 and 1,948.75

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Solution

The fourth proportional to 3,604.75, 4,974.56 and 1,948.75 is: 2,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.75 : 4,974.56 = 1,948.75 : x
  2. Step 2: Convert to fraction form
    3,604.75/4,974.56 = 1,948.75/x
  3. Step 3: Cross multiply
    3,604.75x = 4,974.56 × 1,948.75
  4. Step 4: Simplify right side
    3,604.75x = 9,694,173.80
  5. Step 5: Solve for x
    x = 9,694,173.80/3,604.75
  6. Step 6: Final answer
    x = 2,689.28

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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.