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Finding the Fourth Proportional to 4,952.80, 6,834.83 and 2,714.82

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Solution

The fourth proportional to 4,952.80, 6,834.83 and 2,714.82 is: 3,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.80 : 6,834.83 = 2,714.82 : x
  2. Step 2: Convert to fraction form
    4,952.80/6,834.83 = 2,714.82/x
  3. Step 3: Cross multiply
    4,952.80x = 6,834.83 × 2,714.82
  4. Step 4: Simplify right side
    4,952.80x = 18,555,333.18
  5. Step 5: Solve for x
    x = 18,555,333.18/4,952.80
  6. Step 6: Final answer
    x = 3,746.43

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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.