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Finding the Fourth Proportional to 4,922.25, 7,377.20 and 3,878.14

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Solution

The fourth proportional to 4,922.25, 7,377.20 and 3,878.14 is: 5,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.25 : 7,377.20 = 3,878.14 : x
  2. Step 2: Convert to fraction form
    4,922.25/7,377.20 = 3,878.14/x
  3. Step 3: Cross multiply
    4,922.25x = 7,377.20 × 3,878.14
  4. Step 4: Simplify right side
    4,922.25x = 28,609,758.13
  5. Step 5: Solve for x
    x = 28,609,758.13/4,922.25
  6. Step 6: Final answer
    x = 5,812.33

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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.