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Finding the Fourth Proportional to 3,848.30, 5,309.09 and 2,952.20

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Solution

The fourth proportional to 3,848.30, 5,309.09 and 2,952.20 is: 4,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.30 : 5,309.09 = 2,952.20 : x
  2. Step 2: Convert to fraction form
    3,848.30/5,309.09 = 2,952.20/x
  3. Step 3: Cross multiply
    3,848.30x = 5,309.09 × 2,952.20
  4. Step 4: Simplify right side
    3,848.30x = 15,673,454.19
  5. Step 5: Solve for x
    x = 15,673,454.19/3,848.30
  6. Step 6: Final answer
    x = 4,072.83

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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.