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Finding the Fourth Proportional to 3,643.56, 5,027.36 and 2,316.78

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Solution

The fourth proportional to 3,643.56, 5,027.36 and 2,316.78 is: 3,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.56 : 5,027.36 = 2,316.78 : x
  2. Step 2: Convert to fraction form
    3,643.56/5,027.36 = 2,316.78/x
  3. Step 3: Cross multiply
    3,643.56x = 5,027.36 × 2,316.78
  4. Step 4: Simplify right side
    3,643.56x = 11,647,287.10
  5. Step 5: Solve for x
    x = 11,647,287.10/3,643.56
  6. Step 6: Final answer
    x = 3,196.68

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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.