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Finding the Fourth Proportional to 5,773.60, 8,659.52 and 1,878

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Solution

The fourth proportional to 5,773.60, 8,659.52 and 1,878 is: 2,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.60 : 8,659.52 = 1,878 : x
  2. Step 2: Convert to fraction form
    5,773.60/8,659.52 = 1,878/x
  3. Step 3: Cross multiply
    5,773.60x = 8,659.52 × 1,878
  4. Step 4: Simplify right side
    5,773.60x = 16,262,578.56
  5. Step 5: Solve for x
    x = 16,262,578.56/5,773.60
  6. Step 6: Final answer
    x = 2,816.71

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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.