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Finding the Fourth Proportional to 4,952.17, 6,821.89 and 4,241.69

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Solution

The fourth proportional to 4,952.17, 6,821.89 and 4,241.69 is: 5,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.17 : 6,821.89 = 4,241.69 : x
  2. Step 2: Convert to fraction form
    4,952.17/6,821.89 = 4,241.69/x
  3. Step 3: Cross multiply
    4,952.17x = 6,821.89 × 4,241.69
  4. Step 4: Simplify right side
    4,952.17x = 28,936,342.59
  5. Step 5: Solve for x
    x = 28,936,342.59/4,952.17
  6. Step 6: Final answer
    x = 5,843.16

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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.