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Finding the Fourth Proportional to 3,643.26, 5,467.62 and 2,410.23

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Solution

The fourth proportional to 3,643.26, 5,467.62 and 2,410.23 is: 3,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.26 : 5,467.62 = 2,410.23 : x
  2. Step 2: Convert to fraction form
    3,643.26/5,467.62 = 2,410.23/x
  3. Step 3: Cross multiply
    3,643.26x = 5,467.62 × 2,410.23
  4. Step 4: Simplify right side
    3,643.26x = 13,178,221.75
  5. Step 5: Solve for x
    x = 13,178,221.75/3,643.26
  6. Step 6: Final answer
    x = 3,617.15

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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.