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Finding the Fourth Proportional to 5,519.38, 7,616.74 and 3,035.38

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Solution

The fourth proportional to 5,519.38, 7,616.74 and 3,035.38 is: 4,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.38 : 7,616.74 = 3,035.38 : x
  2. Step 2: Convert to fraction form
    5,519.38/7,616.74 = 3,035.38/x
  3. Step 3: Cross multiply
    5,519.38x = 7,616.74 × 3,035.38
  4. Step 4: Simplify right side
    5,519.38x = 23,119,700.26
  5. Step 5: Solve for x
    x = 23,119,700.26/5,519.38
  6. Step 6: Final answer
    x = 4,188.82

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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.