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Finding the Fourth Proportional to 3,242.22, 4,863.26 and 933.72

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Solution

The fourth proportional to 3,242.22, 4,863.26 and 933.72 is: 1,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.22 : 4,863.26 = 933.72 : x
  2. Step 2: Convert to fraction form
    3,242.22/4,863.26 = 933.72/x
  3. Step 3: Cross multiply
    3,242.22x = 4,863.26 × 933.72
  4. Step 4: Simplify right side
    3,242.22x = 4,540,923.13
  5. Step 5: Solve for x
    x = 4,540,923.13/3,242.22
  6. Step 6: Final answer
    x = 1,400.56

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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.