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Finding the Fourth Proportional to 5,616.72, 8,415.72 and 3,418.80

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Solution

The fourth proportional to 5,616.72, 8,415.72 and 3,418.80 is: 5,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.72 : 8,415.72 = 3,418.80 : x
  2. Step 2: Convert to fraction form
    5,616.72/8,415.72 = 3,418.80/x
  3. Step 3: Cross multiply
    5,616.72x = 8,415.72 × 3,418.80
  4. Step 4: Simplify right side
    5,616.72x = 28,771,663.54
  5. Step 5: Solve for x
    x = 28,771,663.54/5,616.72
  6. Step 6: Final answer
    x = 5,122.50

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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.