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Finding the Fourth Proportional to 5,857.24, 8,774.24 and 3,079.72

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Solution

The fourth proportional to 5,857.24, 8,774.24 and 3,079.72 is: 4,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.24 : 8,774.24 = 3,079.72 : x
  2. Step 2: Convert to fraction form
    5,857.24/8,774.24 = 3,079.72/x
  3. Step 3: Cross multiply
    5,857.24x = 8,774.24 × 3,079.72
  4. Step 4: Simplify right side
    5,857.24x = 27,022,202.41
  5. Step 5: Solve for x
    x = 27,022,202.41/5,857.24
  6. Step 6: Final answer
    x = 4,613.47

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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.