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Finding the Fourth Proportional to 3,642.48, 5,455.26 and 2,178.41

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Solution

The fourth proportional to 3,642.48, 5,455.26 and 2,178.41 is: 3,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.48 : 5,455.26 = 2,178.41 : x
  2. Step 2: Convert to fraction form
    3,642.48/5,455.26 = 2,178.41/x
  3. Step 3: Cross multiply
    3,642.48x = 5,455.26 × 2,178.41
  4. Step 4: Simplify right side
    3,642.48x = 11,883,765.66
  5. Step 5: Solve for x
    x = 11,883,765.66/3,642.48
  6. Step 6: Final answer
    x = 3,262.55

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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.