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Finding the Fourth Proportional to 4,945.28, 7,419 and 1,482.24

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Solution

The fourth proportional to 4,945.28, 7,419 and 1,482.24 is: 2,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.28 : 7,419 = 1,482.24 : x
  2. Step 2: Convert to fraction form
    4,945.28/7,419 = 1,482.24/x
  3. Step 3: Cross multiply
    4,945.28x = 7,419 × 1,482.24
  4. Step 4: Simplify right side
    4,945.28x = 10,996,738.56
  5. Step 5: Solve for x
    x = 10,996,738.56/4,945.28
  6. Step 6: Final answer
    x = 2,223.68

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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.