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Finding the Fourth Proportional to 5,773.08, 8,657.67 and 1,824.30

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Solution

The fourth proportional to 5,773.08, 8,657.67 and 1,824.30 is: 2,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.08 : 8,657.67 = 1,824.30 : x
  2. Step 2: Convert to fraction form
    5,773.08/8,657.67 = 1,824.30/x
  3. Step 3: Cross multiply
    5,773.08x = 8,657.67 × 1,824.30
  4. Step 4: Simplify right side
    5,773.08x = 15,794,187.38
  5. Step 5: Solve for x
    x = 15,794,187.38/5,773.08
  6. Step 6: Final answer
    x = 2,735.83

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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.