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Finding the Fourth Proportional to 3,812.01, 5,716.72 and 1,278.59

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Solution

The fourth proportional to 3,812.01, 5,716.72 and 1,278.59 is: 1,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.01 : 5,716.72 = 1,278.59 : x
  2. Step 2: Convert to fraction form
    3,812.01/5,716.72 = 1,278.59/x
  3. Step 3: Cross multiply
    3,812.01x = 5,716.72 × 1,278.59
  4. Step 4: Simplify right side
    3,812.01x = 7,309,314.04
  5. Step 5: Solve for x
    x = 7,309,314.04/3,812.01
  6. Step 6: Final answer
    x = 1,917.45

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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.