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Finding the Fourth Proportional to 3,478.36, 5,217.54 and 845.86

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Solution

The fourth proportional to 3,478.36, 5,217.54 and 845.86 is: 1,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.36 : 5,217.54 = 845.86 : x
  2. Step 2: Convert to fraction form
    3,478.36/5,217.54 = 845.86/x
  3. Step 3: Cross multiply
    3,478.36x = 5,217.54 × 845.86
  4. Step 4: Simplify right side
    3,478.36x = 4,413,308.38
  5. Step 5: Solve for x
    x = 4,413,308.38/3,478.36
  6. Step 6: Final answer
    x = 1,268.79

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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.