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Finding the Fourth Proportional to 5,517.64, 7,616.34 and 3,655.24

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Solution

The fourth proportional to 5,517.64, 7,616.34 and 3,655.24 is: 5,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.64 : 7,616.34 = 3,655.24 : x
  2. Step 2: Convert to fraction form
    5,517.64/7,616.34 = 3,655.24/x
  3. Step 3: Cross multiply
    5,517.64x = 7,616.34 × 3,655.24
  4. Step 4: Simplify right side
    5,517.64x = 27,839,550.62
  5. Step 5: Solve for x
    x = 27,839,550.62/5,517.64
  6. Step 6: Final answer
    x = 5,045.55

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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.