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Finding the Fourth Proportional to 4,682.92, 7,018.14 and 1,757.80

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Solution

The fourth proportional to 4,682.92, 7,018.14 and 1,757.80 is: 2,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.92 : 7,018.14 = 1,757.80 : x
  2. Step 2: Convert to fraction form
    4,682.92/7,018.14 = 1,757.80/x
  3. Step 3: Cross multiply
    4,682.92x = 7,018.14 × 1,757.80
  4. Step 4: Simplify right side
    4,682.92x = 12,336,486.49
  5. Step 5: Solve for x
    x = 12,336,486.49/4,682.92
  6. Step 6: Final answer
    x = 2,634.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.