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Finding the Fourth Proportional to 5,618.24, 7,760.04 and 3,855.68

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Solution

The fourth proportional to 5,618.24, 7,760.04 and 3,855.68 is: 5,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.24 : 7,760.04 = 3,855.68 : x
  2. Step 2: Convert to fraction form
    5,618.24/7,760.04 = 3,855.68/x
  3. Step 3: Cross multiply
    5,618.24x = 7,760.04 × 3,855.68
  4. Step 4: Simplify right side
    5,618.24x = 29,920,231.03
  5. Step 5: Solve for x
    x = 29,920,231.03/5,618.24
  6. Step 6: Final answer
    x = 5,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.