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Finding the Fourth Proportional to 5,269.83, 7,858.94 and 5,199.21

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Solution

The fourth proportional to 5,269.83, 7,858.94 and 5,199.21 is: 7,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.83 : 7,858.94 = 5,199.21 : x
  2. Step 2: Convert to fraction form
    5,269.83/7,858.94 = 5,199.21/x
  3. Step 3: Cross multiply
    5,269.83x = 7,858.94 × 5,199.21
  4. Step 4: Simplify right side
    5,269.83x = 40,860,253.44
  5. Step 5: Solve for x
    x = 40,860,253.44/5,269.83
  6. Step 6: Final answer
    x = 7,753.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.