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Finding the Fourth Proportional to 5,746.87, 8,620.33 and 2,049.24

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Solution

The fourth proportional to 5,746.87, 8,620.33 and 2,049.24 is: 3,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.87 : 8,620.33 = 2,049.24 : x
  2. Step 2: Convert to fraction form
    5,746.87/8,620.33 = 2,049.24/x
  3. Step 3: Cross multiply
    5,746.87x = 8,620.33 × 2,049.24
  4. Step 4: Simplify right side
    5,746.87x = 17,665,125.05
  5. Step 5: Solve for x
    x = 17,665,125.05/5,746.87
  6. Step 6: Final answer
    x = 3,073.87

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1.5x scale

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.