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Finding the Fourth Proportional to 5,754.54, 8,636.52 and 2,982.05

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Solution

The fourth proportional to 5,754.54, 8,636.52 and 2,982.05 is: 4,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.54 : 8,636.52 = 2,982.05 : x
  2. Step 2: Convert to fraction form
    5,754.54/8,636.52 = 2,982.05/x
  3. Step 3: Cross multiply
    5,754.54x = 8,636.52 × 2,982.05
  4. Step 4: Simplify right side
    5,754.54x = 25,754,534.85
  5. Step 5: Solve for x
    x = 25,754,534.85/5,754.54
  6. Step 6: Final answer
    x = 4,475.51

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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.