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Finding the Fourth Proportional to 5,338.60, 8,006.82 and 1,876.12

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Solution

The fourth proportional to 5,338.60, 8,006.82 and 1,876.12 is: 2,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.60 : 8,006.82 = 1,876.12 : x
  2. Step 2: Convert to fraction form
    5,338.60/8,006.82 = 1,876.12/x
  3. Step 3: Cross multiply
    5,338.60x = 8,006.82 × 1,876.12
  4. Step 4: Simplify right side
    5,338.60x = 15,021,755.14
  5. Step 5: Solve for x
    x = 15,021,755.14/5,338.60
  6. Step 6: Final answer
    x = 2,813.80

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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.