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Finding the Fourth Proportional to 5,738.48, 8,608.12 and 1,842.66

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Solution

The fourth proportional to 5,738.48, 8,608.12 and 1,842.66 is: 2,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.48 : 8,608.12 = 1,842.66 : x
  2. Step 2: Convert to fraction form
    5,738.48/8,608.12 = 1,842.66/x
  3. Step 3: Cross multiply
    5,738.48x = 8,608.12 × 1,842.66
  4. Step 4: Simplify right side
    5,738.48x = 15,861,838.40
  5. Step 5: Solve for x
    x = 15,861,838.40/5,738.48
  6. Step 6: Final answer
    x = 2,764.12

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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.