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Finding the Fourth Proportional to 3,767.82, 5,649.93 and 1,169.34

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Solution

The fourth proportional to 3,767.82, 5,649.93 and 1,169.34 is: 1,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.82 : 5,649.93 = 1,169.34 : x
  2. Step 2: Convert to fraction form
    3,767.82/5,649.93 = 1,169.34/x
  3. Step 3: Cross multiply
    3,767.82x = 5,649.93 × 1,169.34
  4. Step 4: Simplify right side
    3,767.82x = 6,606,689.15
  5. Step 5: Solve for x
    x = 6,606,689.15/3,767.82
  6. Step 6: Final answer
    x = 1,753.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.