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Finding the Fourth Proportional to 5,546.91, 7,655.94 and 3,655.29

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Solution

The fourth proportional to 5,546.91, 7,655.94 and 3,655.29 is: 5,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.91 : 7,655.94 = 3,655.29 : x
  2. Step 2: Convert to fraction form
    5,546.91/7,655.94 = 3,655.29/x
  3. Step 3: Cross multiply
    5,546.91x = 7,655.94 × 3,655.29
  4. Step 4: Simplify right side
    5,546.91x = 27,984,680.92
  5. Step 5: Solve for x
    x = 27,984,680.92/5,546.91
  6. Step 6: Final answer
    x = 5,045.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.