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Finding the Fourth Proportional to 6,098.49, 8,419.80 and 4,982.10

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Solution

The fourth proportional to 6,098.49, 8,419.80 and 4,982.10 is: 6,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.49 : 8,419.80 = 4,982.10 : x
  2. Step 2: Convert to fraction form
    6,098.49/8,419.80 = 4,982.10/x
  3. Step 3: Cross multiply
    6,098.49x = 8,419.80 × 4,982.10
  4. Step 4: Simplify right side
    6,098.49x = 41,948,285.58
  5. Step 5: Solve for x
    x = 41,948,285.58/6,098.49
  6. Step 6: Final answer
    x = 6,878.47

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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.