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Finding the Fourth Proportional to 4,857.76, 6,702.78 and 2,761.84

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Solution

The fourth proportional to 4,857.76, 6,702.78 and 2,761.84 is: 3,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.76 : 6,702.78 = 2,761.84 : x
  2. Step 2: Convert to fraction form
    4,857.76/6,702.78 = 2,761.84/x
  3. Step 3: Cross multiply
    4,857.76x = 6,702.78 × 2,761.84
  4. Step 4: Simplify right side
    4,857.76x = 18,512,005.92
  5. Step 5: Solve for x
    x = 18,512,005.92/4,857.76
  6. Step 6: Final answer
    x = 3,810.81

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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.