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Finding the Fourth Proportional to 3,544.52, 5,313.69 and 1,463.22

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Solution

The fourth proportional to 3,544.52, 5,313.69 and 1,463.22 is: 2,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.52 : 5,313.69 = 1,463.22 : x
  2. Step 2: Convert to fraction form
    3,544.52/5,313.69 = 1,463.22/x
  3. Step 3: Cross multiply
    3,544.52x = 5,313.69 × 1,463.22
  4. Step 4: Simplify right side
    3,544.52x = 7,775,097.48
  5. Step 5: Solve for x
    x = 7,775,097.48/3,544.52
  6. Step 6: Final answer
    x = 2,193.56

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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.