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Finding the Fourth Proportional to 3,052.62, 4,578.93 and 744.12

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Solution

The fourth proportional to 3,052.62, 4,578.93 and 744.12 is: 1,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.62 : 4,578.93 = 744.12 : x
  2. Step 2: Convert to fraction form
    3,052.62/4,578.93 = 744.12/x
  3. Step 3: Cross multiply
    3,052.62x = 4,578.93 × 744.12
  4. Step 4: Simplify right side
    3,052.62x = 3,407,273.39
  5. Step 5: Solve for x
    x = 3,407,273.39/3,052.62
  6. Step 6: Final answer
    x = 1,116.18

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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.