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Finding the Fourth Proportional to 4,842, 7,266.24 and 3,552.48

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Solution

The fourth proportional to 4,842, 7,266.24 and 3,552.48 is: 5,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842 : 7,266.24 = 3,552.48 : x
  2. Step 2: Convert to fraction form
    4,842/7,266.24 = 3,552.48/x
  3. Step 3: Cross multiply
    4,842x = 7,266.24 × 3,552.48
  4. Step 4: Simplify right side
    4,842x = 25,813,172.28
  5. Step 5: Solve for x
    x = 25,813,172.28/4,842
  6. Step 6: Final answer
    x = 5,331.10

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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.