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Finding the Fourth Proportional to 6,098.76, 8,414.69 and 3,736.80

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Solution

The fourth proportional to 6,098.76, 8,414.69 and 3,736.80 is: 5,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.76 : 8,414.69 = 3,736.80 : x
  2. Step 2: Convert to fraction form
    6,098.76/8,414.69 = 3,736.80/x
  3. Step 3: Cross multiply
    6,098.76x = 8,414.69 × 3,736.80
  4. Step 4: Simplify right side
    6,098.76x = 31,443,994.91
  5. Step 5: Solve for x
    x = 31,443,994.91/6,098.76
  6. Step 6: Final answer
    x = 5,155.80

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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.