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Finding the Fourth Proportional to 6,131.61, 8,461.37 and 3,478.97

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Solution

The fourth proportional to 6,131.61, 8,461.37 and 3,478.97 is: 4,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.61 : 8,461.37 = 3,478.97 : x
  2. Step 2: Convert to fraction form
    6,131.61/8,461.37 = 3,478.97/x
  3. Step 3: Cross multiply
    6,131.61x = 8,461.37 × 3,478.97
  4. Step 4: Simplify right side
    6,131.61x = 29,436,818.78
  5. Step 5: Solve for x
    x = 29,436,818.78/6,131.61
  6. Step 6: Final answer
    x = 4,800.83

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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.