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Finding the Fourth Proportional to 3,645.60, 5,463.60 and 3,232.80

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Solution

The fourth proportional to 3,645.60, 5,463.60 and 3,232.80 is: 4,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.60 : 5,463.60 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    3,645.60/5,463.60 = 3,232.80/x
  3. Step 3: Cross multiply
    3,645.60x = 5,463.60 × 3,232.80
  4. Step 4: Simplify right side
    3,645.60x = 17,662,726.08
  5. Step 5: Solve for x
    x = 17,662,726.08/3,645.60
  6. Step 6: Final answer
    x = 4,844.94

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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.