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Finding the Fourth Proportional to 3,468.39, 4,786.56 and 2,052.89

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Solution

The fourth proportional to 3,468.39, 4,786.56 and 2,052.89 is: 2,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.39 : 4,786.56 = 2,052.89 : x
  2. Step 2: Convert to fraction form
    3,468.39/4,786.56 = 2,052.89/x
  3. Step 3: Cross multiply
    3,468.39x = 4,786.56 × 2,052.89
  4. Step 4: Simplify right side
    3,468.39x = 9,826,302.10
  5. Step 5: Solve for x
    x = 9,826,302.10/3,468.39
  6. Step 6: Final answer
    x = 2,833.10

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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.