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Finding the Fourth Proportional to 3,643.53, 5,027.09 and 2,462.55

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Solution

The fourth proportional to 3,643.53, 5,027.09 and 2,462.55 is: 3,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.53 : 5,027.09 = 2,462.55 : x
  2. Step 2: Convert to fraction form
    3,643.53/5,027.09 = 2,462.55/x
  3. Step 3: Cross multiply
    3,643.53x = 5,027.09 × 2,462.55
  4. Step 4: Simplify right side
    3,643.53x = 12,379,460.48
  5. Step 5: Solve for x
    x = 12,379,460.48/3,643.53
  6. Step 6: Final answer
    x = 3,397.66

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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.