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Finding the Fourth Proportional to 6,542.43, 9,820.93 and 3,254.64

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Solution

The fourth proportional to 6,542.43, 9,820.93 and 3,254.64 is: 4,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.43 : 9,820.93 = 3,254.64 : x
  2. Step 2: Convert to fraction form
    6,542.43/9,820.93 = 3,254.64/x
  3. Step 3: Cross multiply
    6,542.43x = 9,820.93 × 3,254.64
  4. Step 4: Simplify right side
    6,542.43x = 31,963,591.62
  5. Step 5: Solve for x
    x = 31,963,591.62/6,542.43
  6. Step 6: Final answer
    x = 4,885.58

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