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Finding the Fourth Proportional to 3,649.87, 5,474.73 and 1,184.69

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Solution

The fourth proportional to 3,649.87, 5,474.73 and 1,184.69 is: 1,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.87 : 5,474.73 = 1,184.69 : x
  2. Step 2: Convert to fraction form
    3,649.87/5,474.73 = 1,184.69/x
  3. Step 3: Cross multiply
    3,649.87x = 5,474.73 × 1,184.69
  4. Step 4: Simplify right side
    3,649.87x = 6,485,840.78
  5. Step 5: Solve for x
    x = 6,485,840.78/3,649.87
  6. Step 6: Final answer
    x = 1,777.01

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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.