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Finding the Fourth Proportional to 5,470.92, 7,549.89 and 2,986.92

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Solution

The fourth proportional to 5,470.92, 7,549.89 and 2,986.92 is: 4,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.92 : 7,549.89 = 2,986.92 : x
  2. Step 2: Convert to fraction form
    5,470.92/7,549.89 = 2,986.92/x
  3. Step 3: Cross multiply
    5,470.92x = 7,549.89 × 2,986.92
  4. Step 4: Simplify right side
    5,470.92x = 22,550,917.44
  5. Step 5: Solve for x
    x = 22,550,917.44/5,470.92
  6. Step 6: Final answer
    x = 4,121.96

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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.