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Finding the Fourth Proportional to 4,947, 7,414.02 and 2,756.76

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Solution

The fourth proportional to 4,947, 7,414.02 and 2,756.76 is: 4,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947 : 7,414.02 = 2,756.76 : x
  2. Step 2: Convert to fraction form
    4,947/7,414.02 = 2,756.76/x
  3. Step 3: Cross multiply
    4,947x = 7,414.02 × 2,756.76
  4. Step 4: Simplify right side
    4,947x = 20,438,673.78
  5. Step 5: Solve for x
    x = 20,438,673.78/4,947
  6. Step 6: Final answer
    x = 4,131.53

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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.