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Finding the Fourth Proportional to 3,036.96, 4,553.44 and 1,188.28

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Solution

The fourth proportional to 3,036.96, 4,553.44 and 1,188.28 is: 1,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.96 : 4,553.44 = 1,188.28 : x
  2. Step 2: Convert to fraction form
    3,036.96/4,553.44 = 1,188.28/x
  3. Step 3: Cross multiply
    3,036.96x = 4,553.44 × 1,188.28
  4. Step 4: Simplify right side
    3,036.96x = 5,410,761.68
  5. Step 5: Solve for x
    x = 5,410,761.68/3,036.96
  6. Step 6: Final answer
    x = 1,781.64

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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.