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Finding the Fourth Proportional to 3,704, 5,111.68 and 2,048

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Solution

The fourth proportional to 3,704, 5,111.68 and 2,048 is: 2,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704 : 5,111.68 = 2,048 : x
  2. Step 2: Convert to fraction form
    3,704/5,111.68 = 2,048/x
  3. Step 3: Cross multiply
    3,704x = 5,111.68 × 2,048
  4. Step 4: Simplify right side
    3,704x = 10,468,720.64
  5. Step 5: Solve for x
    x = 10,468,720.64/3,704
  6. Step 6: Final answer
    x = 2,826.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.