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Finding the Fourth Proportional to 4,486.68, 6,728.76 and 1,711.44

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Solution

The fourth proportional to 4,486.68, 6,728.76 and 1,711.44 is: 2,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.68 : 6,728.76 = 1,711.44 : x
  2. Step 2: Convert to fraction form
    4,486.68/6,728.76 = 1,711.44/x
  3. Step 3: Cross multiply
    4,486.68x = 6,728.76 × 1,711.44
  4. Step 4: Simplify right side
    4,486.68x = 11,515,869.01
  5. Step 5: Solve for x
    x = 11,515,869.01/4,486.68
  6. Step 6: Final answer
    x = 2,566.68

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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.