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Finding the Fourth Proportional to 4,952.61, 6,834.42 and 2,714.46

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Solution

The fourth proportional to 4,952.61, 6,834.42 and 2,714.46 is: 3,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.61 : 6,834.42 = 2,714.46 : x
  2. Step 2: Convert to fraction form
    4,952.61/6,834.42 = 2,714.46/x
  3. Step 3: Cross multiply
    4,952.61x = 6,834.42 × 2,714.46
  4. Step 4: Simplify right side
    4,952.61x = 18,551,759.71
  5. Step 5: Solve for x
    x = 18,551,759.71/4,952.61
  6. Step 6: Final answer
    x = 3,745.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.