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Finding the Fourth Proportional to 4,882.74, 6,741.30 and 3,207.12

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Solution

The fourth proportional to 4,882.74, 6,741.30 and 3,207.12 is: 4,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.74 : 6,741.30 = 3,207.12 : x
  2. Step 2: Convert to fraction form
    4,882.74/6,741.30 = 3,207.12/x
  3. Step 3: Cross multiply
    4,882.74x = 6,741.30 × 3,207.12
  4. Step 4: Simplify right side
    4,882.74x = 21,620,158.06
  5. Step 5: Solve for x
    x = 21,620,158.06/4,882.74
  6. Step 6: Final answer
    x = 4,427.87

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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.