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Finding the Fourth Proportional to 5,152.11, 7,716.14 and 3,762

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Solution

The fourth proportional to 5,152.11, 7,716.14 and 3,762 is: 5,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.11 : 7,716.14 = 3,762 : x
  2. Step 2: Convert to fraction form
    5,152.11/7,716.14 = 3,762/x
  3. Step 3: Cross multiply
    5,152.11x = 7,716.14 × 3,762
  4. Step 4: Simplify right side
    5,152.11x = 29,028,128.09
  5. Step 5: Solve for x
    x = 29,028,128.09/5,152.11
  6. Step 6: Final answer
    x = 5,634.22

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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.