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Finding the Fourth Proportional to 3,468.05, 4,786.10 and 2,052.57

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Solution

The fourth proportional to 3,468.05, 4,786.10 and 2,052.57 is: 2,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.05 : 4,786.10 = 2,052.57 : x
  2. Step 2: Convert to fraction form
    3,468.05/4,786.10 = 2,052.57/x
  3. Step 3: Cross multiply
    3,468.05x = 4,786.10 × 2,052.57
  4. Step 4: Simplify right side
    3,468.05x = 9,823,805.28
  5. Step 5: Solve for x
    x = 9,823,805.28/3,468.05
  6. Step 6: Final answer
    x = 2,832.66

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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.