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Finding the Fourth Proportional to 2,776.95, 3,824.42 and 2,716.47

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Solution

The fourth proportional to 2,776.95, 3,824.42 and 2,716.47 is: 3,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.95 : 3,824.42 = 2,716.47 : x
  2. Step 2: Convert to fraction form
    2,776.95/3,824.42 = 2,716.47/x
  3. Step 3: Cross multiply
    2,776.95x = 3,824.42 × 2,716.47
  4. Step 4: Simplify right side
    2,776.95x = 10,388,908.62
  5. Step 5: Solve for x
    x = 10,388,908.62/2,776.95
  6. Step 6: Final answer
    x = 3,741.12

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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.