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Finding the Fourth Proportional to 4,682.68, 6,462.42 and 2,693.80

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Solution

The fourth proportional to 4,682.68, 6,462.42 and 2,693.80 is: 3,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.68 : 6,462.42 = 2,693.80 : x
  2. Step 2: Convert to fraction form
    4,682.68/6,462.42 = 2,693.80/x
  3. Step 3: Cross multiply
    4,682.68x = 6,462.42 × 2,693.80
  4. Step 4: Simplify right side
    4,682.68x = 17,408,467.00
  5. Step 5: Solve for x
    x = 17,408,467.00/4,682.68
  6. Step 6: Final answer
    x = 3,717.63

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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.