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Finding the Fourth Proportional to 5,911.72, 8,868.90 and 2,449

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Solution

The fourth proportional to 5,911.72, 8,868.90 and 2,449 is: 3,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.72 : 8,868.90 = 2,449 : x
  2. Step 2: Convert to fraction form
    5,911.72/8,868.90 = 2,449/x
  3. Step 3: Cross multiply
    5,911.72x = 8,868.90 × 2,449
  4. Step 4: Simplify right side
    5,911.72x = 21,719,936.10
  5. Step 5: Solve for x
    x = 21,719,936.10/5,911.72
  6. Step 6: Final answer
    x = 3,674.05

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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.