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Finding the Fourth Proportional to 4,952.34, 6,827.09 and 3,771.36

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Solution

The fourth proportional to 4,952.34, 6,827.09 and 3,771.36 is: 5,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.34 : 6,827.09 = 3,771.36 : x
  2. Step 2: Convert to fraction form
    4,952.34/6,827.09 = 3,771.36/x
  3. Step 3: Cross multiply
    4,952.34x = 6,827.09 × 3,771.36
  4. Step 4: Simplify right side
    4,952.34x = 25,747,395.29
  5. Step 5: Solve for x
    x = 25,747,395.29/4,952.34
  6. Step 6: Final answer
    x = 5,199.04

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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.