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Finding the Fourth Proportional to 6,098.54, 8,411.75 and 4,837.83

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Solution

The fourth proportional to 6,098.54, 8,411.75 and 4,837.83 is: 6,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.54 : 8,411.75 = 4,837.83 : x
  2. Step 2: Convert to fraction form
    6,098.54/8,411.75 = 4,837.83/x
  3. Step 3: Cross multiply
    6,098.54x = 8,411.75 × 4,837.83
  4. Step 4: Simplify right side
    6,098.54x = 40,694,578.91
  5. Step 5: Solve for x
    x = 40,694,578.91/6,098.54
  6. Step 6: Final answer
    x = 6,672.84

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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.