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Finding the Fourth Proportional to 4,862.02, 6,709.31 and 2,766

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Solution

The fourth proportional to 4,862.02, 6,709.31 and 2,766 is: 3,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.02 : 6,709.31 = 2,766 : x
  2. Step 2: Convert to fraction form
    4,862.02/6,709.31 = 2,766/x
  3. Step 3: Cross multiply
    4,862.02x = 6,709.31 × 2,766
  4. Step 4: Simplify right side
    4,862.02x = 18,557,951.46
  5. Step 5: Solve for x
    x = 18,557,951.46/4,862.02
  6. Step 6: Final answer
    x = 3,816.92

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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.