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Finding the Fourth Proportional to 5,616.50, 8,418.86 and 1,917.42

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Solution

The fourth proportional to 5,616.50, 8,418.86 and 1,917.42 is: 2,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.50 : 8,418.86 = 1,917.42 : x
  2. Step 2: Convert to fraction form
    5,616.50/8,418.86 = 1,917.42/x
  3. Step 3: Cross multiply
    5,616.50x = 8,418.86 × 1,917.42
  4. Step 4: Simplify right side
    5,616.50x = 16,142,490.54
  5. Step 5: Solve for x
    x = 16,142,490.54/5,616.50
  6. Step 6: Final answer
    x = 2,874.12

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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.