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Finding the Fourth Proportional to 6,103.59, 8,420.56 and 3,981.61

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Solution

The fourth proportional to 6,103.59, 8,420.56 and 3,981.61 is: 5,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.59 : 8,420.56 = 3,981.61 : x
  2. Step 2: Convert to fraction form
    6,103.59/8,420.56 = 3,981.61/x
  3. Step 3: Cross multiply
    6,103.59x = 8,420.56 × 3,981.61
  4. Step 4: Simplify right side
    6,103.59x = 33,527,385.90
  5. Step 5: Solve for x
    x = 33,527,385.90/6,103.59
  6. Step 6: Final answer
    x = 5,493.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.