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Finding the Fourth Proportional to 3,645.60, 5,027.80 and 2,318.80

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Solution

The fourth proportional to 3,645.60, 5,027.80 and 2,318.80 is: 3,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.60 : 5,027.80 = 2,318.80 : x
  2. Step 2: Convert to fraction form
    3,645.60/5,027.80 = 2,318.80/x
  3. Step 3: Cross multiply
    3,645.60x = 5,027.80 × 2,318.80
  4. Step 4: Simplify right side
    3,645.60x = 11,658,462.64
  5. Step 5: Solve for x
    x = 11,658,462.64/3,645.60
  6. Step 6: Final answer
    x = 3,197.95

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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.