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Finding the Fourth Proportional to 3,948.80, 5,923.20 and 3,315.20

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Solution

The fourth proportional to 3,948.80, 5,923.20 and 3,315.20 is: 4,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.80 : 5,923.20 = 3,315.20 : x
  2. Step 2: Convert to fraction form
    3,948.80/5,923.20 = 3,315.20/x
  3. Step 3: Cross multiply
    3,948.80x = 5,923.20 × 3,315.20
  4. Step 4: Simplify right side
    3,948.80x = 19,636,592.64
  5. Step 5: Solve for x
    x = 19,636,592.64/3,948.80
  6. Step 6: Final answer
    x = 4,972.80

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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.