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Finding the Fourth Proportional to 3,702.94, 5,110.06 and 2,046.94

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Solution

The fourth proportional to 3,702.94, 5,110.06 and 2,046.94 is: 2,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.94 : 5,110.06 = 2,046.94 : x
  2. Step 2: Convert to fraction form
    3,702.94/5,110.06 = 2,046.94/x
  3. Step 3: Cross multiply
    3,702.94x = 5,110.06 × 2,046.94
  4. Step 4: Simplify right side
    3,702.94x = 10,459,968.32
  5. Step 5: Solve for x
    x = 10,459,968.32/3,702.94
  6. Step 6: Final answer
    x = 2,824.78

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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.