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Finding the Fourth Proportional to 5,323.85, 7,346.87 and 2,965.94

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Solution

The fourth proportional to 5,323.85, 7,346.87 and 2,965.94 is: 4,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.85 : 7,346.87 = 2,965.94 : x
  2. Step 2: Convert to fraction form
    5,323.85/7,346.87 = 2,965.94/x
  3. Step 3: Cross multiply
    5,323.85x = 7,346.87 × 2,965.94
  4. Step 4: Simplify right side
    5,323.85x = 21,790,375.61
  5. Step 5: Solve for x
    x = 21,790,375.61/5,323.85
  6. Step 6: Final answer
    x = 4,092.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.