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Finding the Fourth Proportional to 3,690.22, 5,534.01 and 1,224.70

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Solution

The fourth proportional to 3,690.22, 5,534.01 and 1,224.70 is: 1,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.22 : 5,534.01 = 1,224.70 : x
  2. Step 2: Convert to fraction form
    3,690.22/5,534.01 = 1,224.70/x
  3. Step 3: Cross multiply
    3,690.22x = 5,534.01 × 1,224.70
  4. Step 4: Simplify right side
    3,690.22x = 6,777,502.05
  5. Step 5: Solve for x
    x = 6,777,502.05/3,690.22
  6. Step 6: Final answer
    x = 1,836.61

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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.