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Finding the Fourth Proportional to 5,116.34, 7,691.62 and 4,198.70

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Solution

The fourth proportional to 5,116.34, 7,691.62 and 4,198.70 is: 6,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.34 : 7,691.62 = 4,198.70 : x
  2. Step 2: Convert to fraction form
    5,116.34/7,691.62 = 4,198.70/x
  3. Step 3: Cross multiply
    5,116.34x = 7,691.62 × 4,198.70
  4. Step 4: Simplify right side
    5,116.34x = 32,294,804.89
  5. Step 5: Solve for x
    x = 32,294,804.89/5,116.34
  6. Step 6: Final answer
    x = 6,312.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.