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Finding the Fourth Proportional to 5,773.92, 8,662.16 and 1,878.24

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Solution

The fourth proportional to 5,773.92, 8,662.16 and 1,878.24 is: 2,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.92 : 8,662.16 = 1,878.24 : x
  2. Step 2: Convert to fraction form
    5,773.92/8,662.16 = 1,878.24/x
  3. Step 3: Cross multiply
    5,773.92x = 8,662.16 × 1,878.24
  4. Step 4: Simplify right side
    5,773.92x = 16,269,615.40
  5. Step 5: Solve for x
    x = 16,269,615.40/5,773.92
  6. Step 6: Final answer
    x = 2,817.78

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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.