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Finding the Fourth Proportional to 3,418.49, 5,128.43 and 1,078.86

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Solution

The fourth proportional to 3,418.49, 5,128.43 and 1,078.86 is: 1,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.49 : 5,128.43 = 1,078.86 : x
  2. Step 2: Convert to fraction form
    3,418.49/5,128.43 = 1,078.86/x
  3. Step 3: Cross multiply
    3,418.49x = 5,128.43 × 1,078.86
  4. Step 4: Simplify right side
    3,418.49x = 5,532,842.98
  5. Step 5: Solve for x
    x = 5,532,842.98/3,418.49
  6. Step 6: Final answer
    x = 1,618.50

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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.