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Finding the Fourth Proportional to 4,812.71, 6,641.41 and 2,716.82

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Solution

The fourth proportional to 4,812.71, 6,641.41 and 2,716.82 is: 3,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.71 : 6,641.41 = 2,716.82 : x
  2. Step 2: Convert to fraction form
    4,812.71/6,641.41 = 2,716.82/x
  3. Step 3: Cross multiply
    4,812.71x = 6,641.41 × 2,716.82
  4. Step 4: Simplify right side
    4,812.71x = 18,043,515.52
  5. Step 5: Solve for x
    x = 18,043,515.52/4,812.71
  6. Step 6: Final answer
    x = 3,749.14

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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.