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Finding the Fourth Proportional to 6,072, 8,380.86 and 3,716.14

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Solution

The fourth proportional to 6,072, 8,380.86 and 3,716.14 is: 5,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072 : 8,380.86 = 3,716.14 : x
  2. Step 2: Convert to fraction form
    6,072/8,380.86 = 3,716.14/x
  3. Step 3: Cross multiply
    6,072x = 8,380.86 × 3,716.14
  4. Step 4: Simplify right side
    6,072x = 31,144,449.08
  5. Step 5: Solve for x
    x = 31,144,449.08/6,072
  6. Step 6: Final answer
    x = 5,129.19

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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.