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Finding the Fourth Proportional to 3,767.32, 5,649.63 and 1,301.50

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Solution

The fourth proportional to 3,767.32, 5,649.63 and 1,301.50 is: 1,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.32 : 5,649.63 = 1,301.50 : x
  2. Step 2: Convert to fraction form
    3,767.32/5,649.63 = 1,301.50/x
  3. Step 3: Cross multiply
    3,767.32x = 5,649.63 × 1,301.50
  4. Step 4: Simplify right side
    3,767.32x = 7,352,993.45
  5. Step 5: Solve for x
    x = 7,352,993.45/3,767.32
  6. Step 6: Final answer
    x = 1,951.78

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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.