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Finding the Fourth Proportional to 4,885.68, 6,742.22 and 2,647.61

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Solution

The fourth proportional to 4,885.68, 6,742.22 and 2,647.61 is: 3,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.68 : 6,742.22 = 2,647.61 : x
  2. Step 2: Convert to fraction form
    4,885.68/6,742.22 = 2,647.61/x
  3. Step 3: Cross multiply
    4,885.68x = 6,742.22 × 2,647.61
  4. Step 4: Simplify right side
    4,885.68x = 17,850,769.09
  5. Step 5: Solve for x
    x = 17,850,769.09/4,885.68
  6. Step 6: Final answer
    x = 3,653.69

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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.