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Finding the Fourth Proportional to 3,159.26, 4,738.87 and 1,078.26

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Solution

The fourth proportional to 3,159.26, 4,738.87 and 1,078.26 is: 1,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.26 : 4,738.87 = 1,078.26 : x
  2. Step 2: Convert to fraction form
    3,159.26/4,738.87 = 1,078.26/x
  3. Step 3: Cross multiply
    3,159.26x = 4,738.87 × 1,078.26
  4. Step 4: Simplify right side
    3,159.26x = 5,109,733.97
  5. Step 5: Solve for x
    x = 5,109,733.97/3,159.26
  6. Step 6: Final answer
    x = 1,617.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.