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Finding the Fourth Proportional to 3,466.67, 4,786.29 and 2,142.32

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Solution

The fourth proportional to 3,466.67, 4,786.29 and 2,142.32 is: 2,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.67 : 4,786.29 = 2,142.32 : x
  2. Step 2: Convert to fraction form
    3,466.67/4,786.29 = 2,142.32/x
  3. Step 3: Cross multiply
    3,466.67x = 4,786.29 × 2,142.32
  4. Step 4: Simplify right side
    3,466.67x = 10,253,740.86
  5. Step 5: Solve for x
    x = 10,253,740.86/3,466.67
  6. Step 6: Final answer
    x = 2,957.81

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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.