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Finding the Fourth Proportional to 3,616.56, 5,420.52 and 2,314.08

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Solution

The fourth proportional to 3,616.56, 5,420.52 and 2,314.08 is: 3,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.56 : 5,420.52 = 2,314.08 : x
  2. Step 2: Convert to fraction form
    3,616.56/5,420.52 = 2,314.08/x
  3. Step 3: Cross multiply
    3,616.56x = 5,420.52 × 2,314.08
  4. Step 4: Simplify right side
    3,616.56x = 12,543,516.92
  5. Step 5: Solve for x
    x = 12,543,516.92/3,616.56
  6. Step 6: Final answer
    x = 3,468.36

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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.