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Finding the Fourth Proportional to 3,833.67, 5,751.54 and 2,078.25

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Solution

The fourth proportional to 3,833.67, 5,751.54 and 2,078.25 is: 3,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.67 : 5,751.54 = 2,078.25 : x
  2. Step 2: Convert to fraction form
    3,833.67/5,751.54 = 2,078.25/x
  3. Step 3: Cross multiply
    3,833.67x = 5,751.54 × 2,078.25
  4. Step 4: Simplify right side
    3,833.67x = 11,953,138.01
  5. Step 5: Solve for x
    x = 11,953,138.01/3,833.67
  6. Step 6: Final answer
    x = 3,117.94

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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.