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Finding the Fourth Proportional to 3,642.72, 5,464.09 and 1,561.38

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Solution

The fourth proportional to 3,642.72, 5,464.09 and 1,561.38 is: 2,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.72 : 5,464.09 = 1,561.38 : x
  2. Step 2: Convert to fraction form
    3,642.72/5,464.09 = 1,561.38/x
  3. Step 3: Cross multiply
    3,642.72x = 5,464.09 × 1,561.38
  4. Step 4: Simplify right side
    3,642.72x = 8,531,520.84
  5. Step 5: Solve for x
    x = 8,531,520.84/3,642.72
  6. Step 6: Final answer
    x = 2,342.07

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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.