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Finding the Fourth Proportional to 3,854.52, 5,794.59 and 3,166.29

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Solution

The fourth proportional to 3,854.52, 5,794.59 and 3,166.29 is: 4,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.52 : 5,794.59 = 3,166.29 : x
  2. Step 2: Convert to fraction form
    3,854.52/5,794.59 = 3,166.29/x
  3. Step 3: Cross multiply
    3,854.52x = 5,794.59 × 3,166.29
  4. Step 4: Simplify right side
    3,854.52x = 18,347,352.37
  5. Step 5: Solve for x
    x = 18,347,352.37/3,854.52
  6. Step 6: Final answer
    x = 4,759.96

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1.5x scale

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.