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Finding the Fourth Proportional to 4,937.96, 6,816.10 and 2,842.92

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Solution

The fourth proportional to 4,937.96, 6,816.10 and 2,842.92 is: 3,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.96 : 6,816.10 = 2,842.92 : x
  2. Step 2: Convert to fraction form
    4,937.96/6,816.10 = 2,842.92/x
  3. Step 3: Cross multiply
    4,937.96x = 6,816.10 × 2,842.92
  4. Step 4: Simplify right side
    4,937.96x = 19,377,627.01
  5. Step 5: Solve for x
    x = 19,377,627.01/4,937.96
  6. Step 6: Final answer
    x = 3,924.22

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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.