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Finding the Fourth Proportional to 3,788.87, 5,225.67 and 2,463

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Solution

The fourth proportional to 3,788.87, 5,225.67 and 2,463 is: 3,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.87 : 5,225.67 = 2,463 : x
  2. Step 2: Convert to fraction form
    3,788.87/5,225.67 = 2,463/x
  3. Step 3: Cross multiply
    3,788.87x = 5,225.67 × 2,463
  4. Step 4: Simplify right side
    3,788.87x = 12,870,825.21
  5. Step 5: Solve for x
    x = 12,870,825.21/3,788.87
  6. Step 6: Final answer
    x = 3,397.01

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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.