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Finding the Fourth Proportional to 4,856.66, 6,702.18 and 2,760.80

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Solution

The fourth proportional to 4,856.66, 6,702.18 and 2,760.80 is: 3,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.66 : 6,702.18 = 2,760.80 : x
  2. Step 2: Convert to fraction form
    4,856.66/6,702.18 = 2,760.80/x
  3. Step 3: Cross multiply
    4,856.66x = 6,702.18 × 2,760.80
  4. Step 4: Simplify right side
    4,856.66x = 18,503,378.54
  5. Step 5: Solve for x
    x = 18,503,378.54/4,856.66
  6. Step 6: Final answer
    x = 3,809.90

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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.