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Finding the Fourth Proportional to 5,753.64, 8,618.94 and 3,443.88

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Solution

The fourth proportional to 5,753.64, 8,618.94 and 3,443.88 is: 5,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.64 : 8,618.94 = 3,443.88 : x
  2. Step 2: Convert to fraction form
    5,753.64/8,618.94 = 3,443.88/x
  3. Step 3: Cross multiply
    5,753.64x = 8,618.94 × 3,443.88
  4. Step 4: Simplify right side
    5,753.64x = 29,682,595.09
  5. Step 5: Solve for x
    x = 29,682,595.09/5,753.64
  6. Step 6: Final answer
    x = 5,158.92

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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.