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Finding the Fourth Proportional to 3,890.33, 5,835.50 and 1,425.14

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Solution

The fourth proportional to 3,890.33, 5,835.50 and 1,425.14 is: 2,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.33 : 5,835.50 = 1,425.14 : x
  2. Step 2: Convert to fraction form
    3,890.33/5,835.50 = 1,425.14/x
  3. Step 3: Cross multiply
    3,890.33x = 5,835.50 × 1,425.14
  4. Step 4: Simplify right side
    3,890.33x = 8,316,404.47
  5. Step 5: Solve for x
    x = 8,316,404.47/3,890.33
  6. Step 6: Final answer
    x = 2,137.71

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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.