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Finding the Fourth Proportional to 4,971.68, 6,858.72 and 3,082.76

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Solution

The fourth proportional to 4,971.68, 6,858.72 and 3,082.76 is: 4,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.68 : 6,858.72 = 3,082.76 : x
  2. Step 2: Convert to fraction form
    4,971.68/6,858.72 = 3,082.76/x
  3. Step 3: Cross multiply
    4,971.68x = 6,858.72 × 3,082.76
  4. Step 4: Simplify right side
    4,971.68x = 21,143,787.67
  5. Step 5: Solve for x
    x = 21,143,787.67/4,971.68
  6. Step 6: Final answer
    x = 4,252.85

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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.