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Finding the Fourth Proportional to 5,734.28, 8,601.15 and 2,269.10

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Solution

The fourth proportional to 5,734.28, 8,601.15 and 2,269.10 is: 3,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.28 : 8,601.15 = 2,269.10 : x
  2. Step 2: Convert to fraction form
    5,734.28/8,601.15 = 2,269.10/x
  3. Step 3: Cross multiply
    5,734.28x = 8,601.15 × 2,269.10
  4. Step 4: Simplify right side
    5,734.28x = 19,516,869.47
  5. Step 5: Solve for x
    x = 19,516,869.47/5,734.28
  6. Step 6: Final answer
    x = 3,403.54

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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.