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Finding the Fourth Proportional to 3,412.30, 4,711.62 and 2,752.30

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Solution

The fourth proportional to 3,412.30, 4,711.62 and 2,752.30 is: 3,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.30 : 4,711.62 = 2,752.30 : x
  2. Step 2: Convert to fraction form
    3,412.30/4,711.62 = 2,752.30/x
  3. Step 3: Cross multiply
    3,412.30x = 4,711.62 × 2,752.30
  4. Step 4: Simplify right side
    3,412.30x = 12,967,791.73
  5. Step 5: Solve for x
    x = 12,967,791.73/3,412.30
  6. Step 6: Final answer
    x = 3,800.31

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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.