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Finding the Fourth Proportional to 5,754.25, 8,612.81 and 2,977.10

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Solution

The fourth proportional to 5,754.25, 8,612.81 and 2,977.10 is: 4,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.25 : 8,612.81 = 2,977.10 : x
  2. Step 2: Convert to fraction form
    5,754.25/8,612.81 = 2,977.10/x
  3. Step 3: Cross multiply
    5,754.25x = 8,612.81 × 2,977.10
  4. Step 4: Simplify right side
    5,754.25x = 25,641,138.70
  5. Step 5: Solve for x
    x = 25,641,138.70/5,754.25
  6. Step 6: Final answer
    x = 4,456.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.