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Finding the Fourth Proportional to 5,773.59, 8,661.24 and 1,877.04

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Solution

The fourth proportional to 5,773.59, 8,661.24 and 1,877.04 is: 2,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.59 : 8,661.24 = 1,877.04 : x
  2. Step 2: Convert to fraction form
    5,773.59/8,661.24 = 1,877.04/x
  3. Step 3: Cross multiply
    5,773.59x = 8,661.24 × 1,877.04
  4. Step 4: Simplify right side
    5,773.59x = 16,257,493.93
  5. Step 5: Solve for x
    x = 16,257,493.93/5,773.59
  6. Step 6: Final answer
    x = 2,815.84

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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.