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Finding the Fourth Proportional to 3,900.48, 5,843 and 2,048.82

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Solution

The fourth proportional to 3,900.48, 5,843 and 2,048.82 is: 3,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.48 : 5,843 = 2,048.82 : x
  2. Step 2: Convert to fraction form
    3,900.48/5,843 = 2,048.82/x
  3. Step 3: Cross multiply
    3,900.48x = 5,843 × 2,048.82
  4. Step 4: Simplify right side
    3,900.48x = 11,971,255.26
  5. Step 5: Solve for x
    x = 11,971,255.26/3,900.48
  6. Step 6: Final answer
    x = 3,069.17

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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.