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Finding the Fourth Proportional to 3,649.14, 5,473.17 and 1,184.17

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Solution

The fourth proportional to 3,649.14, 5,473.17 and 1,184.17 is: 1,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.14 : 5,473.17 = 1,184.17 : x
  2. Step 2: Convert to fraction form
    3,649.14/5,473.17 = 1,184.17/x
  3. Step 3: Cross multiply
    3,649.14x = 5,473.17 × 1,184.17
  4. Step 4: Simplify right side
    3,649.14x = 6,481,163.72
  5. Step 5: Solve for x
    x = 6,481,163.72/3,649.14
  6. Step 6: Final answer
    x = 1,776.08

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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.