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Finding the Fourth Proportional to 3,669.62, 5,507.16 and 1,723.19

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Solution

The fourth proportional to 3,669.62, 5,507.16 and 1,723.19 is: 2,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.62 : 5,507.16 = 1,723.19 : x
  2. Step 2: Convert to fraction form
    3,669.62/5,507.16 = 1,723.19/x
  3. Step 3: Cross multiply
    3,669.62x = 5,507.16 × 1,723.19
  4. Step 4: Simplify right side
    3,669.62x = 9,489,883.04
  5. Step 5: Solve for x
    x = 9,489,883.04/3,669.62
  6. Step 6: Final answer
    x = 2,586.07

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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.