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Finding the Fourth Proportional to 4,856.63, 6,702.14 and 2,761.16

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Solution

The fourth proportional to 4,856.63, 6,702.14 and 2,761.16 is: 3,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.63 : 6,702.14 = 2,761.16 : x
  2. Step 2: Convert to fraction form
    4,856.63/6,702.14 = 2,761.16/x
  3. Step 3: Cross multiply
    4,856.63x = 6,702.14 × 2,761.16
  4. Step 4: Simplify right side
    4,856.63x = 18,505,654.27
  5. Step 5: Solve for x
    x = 18,505,654.27/4,856.63
  6. Step 6: Final answer
    x = 3,810.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.