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Finding the Fourth Proportional to 4,777.68, 6,592.86 and 2,682.12

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Solution

The fourth proportional to 4,777.68, 6,592.86 and 2,682.12 is: 3,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.68 : 6,592.86 = 2,682.12 : x
  2. Step 2: Convert to fraction form
    4,777.68/6,592.86 = 2,682.12/x
  3. Step 3: Cross multiply
    4,777.68x = 6,592.86 × 2,682.12
  4. Step 4: Simplify right side
    4,777.68x = 17,682,841.66
  5. Step 5: Solve for x
    x = 17,682,841.66/4,777.68
  6. Step 6: Final answer
    x = 3,701.14

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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.