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Finding the Fourth Proportional to 4,962.24, 7,446.96 and 4,048.56

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Solution

The fourth proportional to 4,962.24, 7,446.96 and 4,048.56 is: 6,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.24 : 7,446.96 = 4,048.56 : x
  2. Step 2: Convert to fraction form
    4,962.24/7,446.96 = 4,048.56/x
  3. Step 3: Cross multiply
    4,962.24x = 7,446.96 × 4,048.56
  4. Step 4: Simplify right side
    4,962.24x = 30,149,464.38
  5. Step 5: Solve for x
    x = 30,149,464.38/4,962.24
  6. Step 6: Final answer
    x = 6,075.78

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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.