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Finding the Fourth Proportional to 4,970.38, 6,859.27 and 2,732.32

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Solution

The fourth proportional to 4,970.38, 6,859.27 and 2,732.32 is: 3,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.38 : 6,859.27 = 2,732.32 : x
  2. Step 2: Convert to fraction form
    4,970.38/6,859.27 = 2,732.32/x
  3. Step 3: Cross multiply
    4,970.38x = 6,859.27 × 2,732.32
  4. Step 4: Simplify right side
    4,970.38x = 18,741,720.61
  5. Step 5: Solve for x
    x = 18,741,720.61/4,970.38
  6. Step 6: Final answer
    x = 3,770.68

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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.