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Finding the Fourth Proportional to 3,255.92, 4,884.69 and 947.42

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Solution

The fourth proportional to 3,255.92, 4,884.69 and 947.42 is: 1,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.92 : 4,884.69 = 947.42 : x
  2. Step 2: Convert to fraction form
    3,255.92/4,884.69 = 947.42/x
  3. Step 3: Cross multiply
    3,255.92x = 4,884.69 × 947.42
  4. Step 4: Simplify right side
    3,255.92x = 4,627,853.00
  5. Step 5: Solve for x
    x = 4,627,853.00/3,255.92
  6. Step 6: Final answer
    x = 1,421.37

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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.