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Finding the Fourth Proportional to 3,842.50, 5,763.90 and 1,649.71

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Solution

The fourth proportional to 3,842.50, 5,763.90 and 1,649.71 is: 2,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.50 : 5,763.90 = 1,649.71 : x
  2. Step 2: Convert to fraction form
    3,842.50/5,763.90 = 1,649.71/x
  3. Step 3: Cross multiply
    3,842.50x = 5,763.90 × 1,649.71
  4. Step 4: Simplify right side
    3,842.50x = 9,508,763.47
  5. Step 5: Solve for x
    x = 9,508,763.47/3,842.50
  6. Step 6: Final answer
    x = 2,474.63

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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.