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Finding the Fourth Proportional to 6,542.98, 9,809.30 and 3,254.28

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Solution

The fourth proportional to 6,542.98, 9,809.30 and 3,254.28 is: 4,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.98 : 9,809.30 = 3,254.28 : x
  2. Step 2: Convert to fraction form
    6,542.98/9,809.30 = 3,254.28/x
  3. Step 3: Cross multiply
    6,542.98x = 9,809.30 × 3,254.28
  4. Step 4: Simplify right side
    6,542.98x = 31,922,180.15
  5. Step 5: Solve for x
    x = 31,922,180.15/6,542.98
  6. Step 6: Final answer
    x = 4,878.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.