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Finding the Fourth Proportional to 3,836, 5,758.84 and 3,262.52

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Solution

The fourth proportional to 3,836, 5,758.84 and 3,262.52 is: 4,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836 : 5,758.84 = 3,262.52 : x
  2. Step 2: Convert to fraction form
    3,836/5,758.84 = 3,262.52/x
  3. Step 3: Cross multiply
    3,836x = 5,758.84 × 3,262.52
  4. Step 4: Simplify right side
    3,836x = 18,788,330.68
  5. Step 5: Solve for x
    x = 18,788,330.68/3,836
  6. Step 6: Final answer
    x = 4,897.90

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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.