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Finding the Fourth Proportional to 4,949.32, 7,423.02 and 3,191.56

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Solution

The fourth proportional to 4,949.32, 7,423.02 and 3,191.56 is: 4,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.32 : 7,423.02 = 3,191.56 : x
  2. Step 2: Convert to fraction form
    4,949.32/7,423.02 = 3,191.56/x
  3. Step 3: Cross multiply
    4,949.32x = 7,423.02 × 3,191.56
  4. Step 4: Simplify right side
    4,949.32x = 23,691,013.71
  5. Step 5: Solve for x
    x = 23,691,013.71/4,949.32
  6. Step 6: Final answer
    x = 4,786.72

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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.