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Finding the Fourth Proportional to 3,840.39, 5,761.14 and 1,649.10

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Solution

The fourth proportional to 3,840.39, 5,761.14 and 1,649.10 is: 2,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.39 : 5,761.14 = 1,649.10 : x
  2. Step 2: Convert to fraction form
    3,840.39/5,761.14 = 1,649.10/x
  3. Step 3: Cross multiply
    3,840.39x = 5,761.14 × 1,649.10
  4. Step 4: Simplify right side
    3,840.39x = 9,500,695.97
  5. Step 5: Solve for x
    x = 9,500,695.97/3,840.39
  6. Step 6: Final answer
    x = 2,473.89

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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.