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Finding the Fourth Proportional to 4,962.76, 7,452.78 and 3,424.84

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Solution

The fourth proportional to 4,962.76, 7,452.78 and 3,424.84 is: 5,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.76 : 7,452.78 = 3,424.84 : x
  2. Step 2: Convert to fraction form
    4,962.76/7,452.78 = 3,424.84/x
  3. Step 3: Cross multiply
    4,962.76x = 7,452.78 × 3,424.84
  4. Step 4: Simplify right side
    4,962.76x = 25,524,579.06
  5. Step 5: Solve for x
    x = 25,524,579.06/4,962.76
  6. Step 6: Final answer
    x = 5,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.