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Finding the Fourth Proportional to 5,111.66, 7,665.21 and 3,561.62

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Solution

The fourth proportional to 5,111.66, 7,665.21 and 3,561.62 is: 5,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.66 : 7,665.21 = 3,561.62 : x
  2. Step 2: Convert to fraction form
    5,111.66/7,665.21 = 3,561.62/x
  3. Step 3: Cross multiply
    5,111.66x = 7,665.21 × 3,561.62
  4. Step 4: Simplify right side
    5,111.66x = 27,300,560.01
  5. Step 5: Solve for x
    x = 27,300,560.01/5,111.66
  6. Step 6: Final answer
    x = 5,340.84

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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.