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Finding the Fourth Proportional to 4,974.39, 7,464.42 and 2,377.53

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Solution

The fourth proportional to 4,974.39, 7,464.42 and 2,377.53 is: 3,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.39 : 7,464.42 = 2,377.53 : x
  2. Step 2: Convert to fraction form
    4,974.39/7,464.42 = 2,377.53/x
  3. Step 3: Cross multiply
    4,974.39x = 7,464.42 × 2,377.53
  4. Step 4: Simplify right side
    4,974.39x = 17,746,882.48
  5. Step 5: Solve for x
    x = 17,746,882.48/4,974.39
  6. Step 6: Final answer
    x = 3,567.65

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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.