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Finding the Fourth Proportional to 4,857.60, 6,702.88 and 2,761.76

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Solution

The fourth proportional to 4,857.60, 6,702.88 and 2,761.76 is: 3,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.60 : 6,702.88 = 2,761.76 : x
  2. Step 2: Convert to fraction form
    4,857.60/6,702.88 = 2,761.76/x
  3. Step 3: Cross multiply
    4,857.60x = 6,702.88 × 2,761.76
  4. Step 4: Simplify right side
    4,857.60x = 18,511,745.87
  5. Step 5: Solve for x
    x = 18,511,745.87/4,857.60
  6. Step 6: Final answer
    x = 3,810.88

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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.