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Finding the Fourth Proportional to 4,973.27, 6,863.27 and 2,735.35

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Solution

The fourth proportional to 4,973.27, 6,863.27 and 2,735.35 is: 3,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.27 : 6,863.27 = 2,735.35 : x
  2. Step 2: Convert to fraction form
    4,973.27/6,863.27 = 2,735.35/x
  3. Step 3: Cross multiply
    4,973.27x = 6,863.27 × 2,735.35
  4. Step 4: Simplify right side
    4,973.27x = 18,773,414.76
  5. Step 5: Solve for x
    x = 18,773,414.76/4,973.27
  6. Step 6: Final answer
    x = 3,774.87

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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.