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Finding the Fourth Proportional to 3,243.72, 4,865.06 and 1,052.12

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Solution

The fourth proportional to 3,243.72, 4,865.06 and 1,052.12 is: 1,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.72 : 4,865.06 = 1,052.12 : x
  2. Step 2: Convert to fraction form
    3,243.72/4,865.06 = 1,052.12/x
  3. Step 3: Cross multiply
    3,243.72x = 4,865.06 × 1,052.12
  4. Step 4: Simplify right side
    3,243.72x = 5,118,626.93
  5. Step 5: Solve for x
    x = 5,118,626.93/3,243.72
  6. Step 6: Final answer
    x = 1,578.01

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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.