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Finding the Fourth Proportional to 3,239.48, 4,859.22 and 1,048.14

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Solution

The fourth proportional to 3,239.48, 4,859.22 and 1,048.14 is: 1,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.48 : 4,859.22 = 1,048.14 : x
  2. Step 2: Convert to fraction form
    3,239.48/4,859.22 = 1,048.14/x
  3. Step 3: Cross multiply
    3,239.48x = 4,859.22 × 1,048.14
  4. Step 4: Simplify right side
    3,239.48x = 5,093,142.85
  5. Step 5: Solve for x
    x = 5,093,142.85/3,239.48
  6. Step 6: Final answer
    x = 1,572.21

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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.