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Finding the Fourth Proportional to 5,338.25, 8,008.29 and 2,006.21

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Solution

The fourth proportional to 5,338.25, 8,008.29 and 2,006.21 is: 3,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.25 : 8,008.29 = 2,006.21 : x
  2. Step 2: Convert to fraction form
    5,338.25/8,008.29 = 2,006.21/x
  3. Step 3: Cross multiply
    5,338.25x = 8,008.29 × 2,006.21
  4. Step 4: Simplify right side
    5,338.25x = 16,066,311.48
  5. Step 5: Solve for x
    x = 16,066,311.48/5,338.25
  6. Step 6: Final answer
    x = 3,009.66

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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.