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Finding the Fourth Proportional to 4,945.60, 7,434.60 and 3,494.80

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Solution

The fourth proportional to 4,945.60, 7,434.60 and 3,494.80 is: 5,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.60 : 7,434.60 = 3,494.80 : x
  2. Step 2: Convert to fraction form
    4,945.60/7,434.60 = 3,494.80/x
  3. Step 3: Cross multiply
    4,945.60x = 7,434.60 × 3,494.80
  4. Step 4: Simplify right side
    4,945.60x = 25,982,440.08
  5. Step 5: Solve for x
    x = 25,982,440.08/4,945.60
  6. Step 6: Final answer
    x = 5,253.65

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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.