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Finding the Fourth Proportional to 5,773.56, 8,652.95 and 3,142.28

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Solution

The fourth proportional to 5,773.56, 8,652.95 and 3,142.28 is: 4,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.56 : 8,652.95 = 3,142.28 : x
  2. Step 2: Convert to fraction form
    5,773.56/8,652.95 = 3,142.28/x
  3. Step 3: Cross multiply
    5,773.56x = 8,652.95 × 3,142.28
  4. Step 4: Simplify right side
    5,773.56x = 27,189,932.75
  5. Step 5: Solve for x
    x = 27,189,932.75/5,773.56
  6. Step 6: Final answer
    x = 4,709.39

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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.