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Finding the Fourth Proportional to 6,098.10, 8,414.73 and 4,505.58

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Solution

The fourth proportional to 6,098.10, 8,414.73 and 4,505.58 is: 6,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.10 : 8,414.73 = 4,505.58 : x
  2. Step 2: Convert to fraction form
    6,098.10/8,414.73 = 4,505.58/x
  3. Step 3: Cross multiply
    6,098.10x = 8,414.73 × 4,505.58
  4. Step 4: Simplify right side
    6,098.10x = 37,913,239.19
  5. Step 5: Solve for x
    x = 37,913,239.19/6,098.10
  6. Step 6: Final answer
    x = 6,217.22

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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.