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Finding the Fourth Proportional to 3,844.61, 5,305.67 and 2,352.50

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Solution

The fourth proportional to 3,844.61, 5,305.67 and 2,352.50 is: 3,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.61 : 5,305.67 = 2,352.50 : x
  2. Step 2: Convert to fraction form
    3,844.61/5,305.67 = 2,352.50/x
  3. Step 3: Cross multiply
    3,844.61x = 5,305.67 × 2,352.50
  4. Step 4: Simplify right side
    3,844.61x = 12,481,576.91
  5. Step 5: Solve for x
    x = 12,481,576.91/3,844.61
  6. Step 6: Final answer
    x = 3,246.51

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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.