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Finding the Fourth Proportional to 3,468.52, 4,785.78 and 3,173.68

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Solution

The fourth proportional to 3,468.52, 4,785.78 and 3,173.68 is: 4,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.52 : 4,785.78 = 3,173.68 : x
  2. Step 2: Convert to fraction form
    3,468.52/4,785.78 = 3,173.68/x
  3. Step 3: Cross multiply
    3,468.52x = 4,785.78 × 3,173.68
  4. Step 4: Simplify right side
    3,468.52x = 15,188,534.27
  5. Step 5: Solve for x
    x = 15,188,534.27/3,468.52
  6. Step 6: Final answer
    x = 4,378.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.