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Finding the Fourth Proportional to 4,952.40, 6,834.27 and 2,714.23

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Solution

The fourth proportional to 4,952.40, 6,834.27 and 2,714.23 is: 3,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.40 : 6,834.27 = 2,714.23 : x
  2. Step 2: Convert to fraction form
    4,952.40/6,834.27 = 2,714.23/x
  3. Step 3: Cross multiply
    4,952.40x = 6,834.27 × 2,714.23
  4. Step 4: Simplify right side
    4,952.40x = 18,549,780.66
  5. Step 5: Solve for x
    x = 18,549,780.66/4,952.40
  6. Step 6: Final answer
    x = 3,745.61

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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.