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Finding the Fourth Proportional to 3,544.37, 5,314.92 and 1,078.68

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Solution

The fourth proportional to 3,544.37, 5,314.92 and 1,078.68 is: 1,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.37 : 5,314.92 = 1,078.68 : x
  2. Step 2: Convert to fraction form
    3,544.37/5,314.92 = 1,078.68/x
  3. Step 3: Cross multiply
    3,544.37x = 5,314.92 × 1,078.68
  4. Step 4: Simplify right side
    3,544.37x = 5,733,097.91
  5. Step 5: Solve for x
    x = 5,733,097.91/3,544.37
  6. Step 6: Final answer
    x = 1,617.52

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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.