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Finding the Fourth Proportional to 5,747.24, 8,627.88 and 3,803.24

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Solution

The fourth proportional to 5,747.24, 8,627.88 and 3,803.24 is: 5,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.24 : 8,627.88 = 3,803.24 : x
  2. Step 2: Convert to fraction form
    5,747.24/8,627.88 = 3,803.24/x
  3. Step 3: Cross multiply
    5,747.24x = 8,627.88 × 3,803.24
  4. Step 4: Simplify right side
    5,747.24x = 32,813,898.33
  5. Step 5: Solve for x
    x = 32,813,898.33/5,747.24
  6. Step 6: Final answer
    x = 5,709.51

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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.