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Finding the Fourth Proportional to 3,544.39, 5,314.95 and 1,078.66

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Solution

The fourth proportional to 3,544.39, 5,314.95 and 1,078.66 is: 1,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.39 : 5,314.95 = 1,078.66 : x
  2. Step 2: Convert to fraction form
    3,544.39/5,314.95 = 1,078.66/x
  3. Step 3: Cross multiply
    3,544.39x = 5,314.95 × 1,078.66
  4. Step 4: Simplify right side
    3,544.39x = 5,733,023.97
  5. Step 5: Solve for x
    x = 5,733,023.97/3,544.39
  6. Step 6: Final answer
    x = 1,617.49

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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.