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Finding the Fourth Proportional to 3,987.22, 5,502.33 and 2,194.81

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Solution

The fourth proportional to 3,987.22, 5,502.33 and 2,194.81 is: 3,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.22 : 5,502.33 = 2,194.81 : x
  2. Step 2: Convert to fraction form
    3,987.22/5,502.33 = 2,194.81/x
  3. Step 3: Cross multiply
    3,987.22x = 5,502.33 × 2,194.81
  4. Step 4: Simplify right side
    3,987.22x = 12,076,555.15
  5. Step 5: Solve for x
    x = 12,076,555.15/3,987.22
  6. Step 6: Final answer
    x = 3,028.82

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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.