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Finding the Fourth Proportional to 3,238.76, 4,855.86 and 1,262.87

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Solution

The fourth proportional to 3,238.76, 4,855.86 and 1,262.87 is: 1,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.76 : 4,855.86 = 1,262.87 : x
  2. Step 2: Convert to fraction form
    3,238.76/4,855.86 = 1,262.87/x
  3. Step 3: Cross multiply
    3,238.76x = 4,855.86 × 1,262.87
  4. Step 4: Simplify right side
    3,238.76x = 6,132,295.64
  5. Step 5: Solve for x
    x = 6,132,295.64/3,238.76
  6. Step 6: Final answer
    x = 1,893.41

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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.