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Finding the Fourth Proportional to 3,948.57, 5,920.78 and 1,972.08

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Solution

The fourth proportional to 3,948.57, 5,920.78 and 1,972.08 is: 2,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.57 : 5,920.78 = 1,972.08 : x
  2. Step 2: Convert to fraction form
    3,948.57/5,920.78 = 1,972.08/x
  3. Step 3: Cross multiply
    3,948.57x = 5,920.78 × 1,972.08
  4. Step 4: Simplify right side
    3,948.57x = 11,676,212.36
  5. Step 5: Solve for x
    x = 11,676,212.36/3,948.57
  6. Step 6: Final answer
    x = 2,957.08

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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.