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Finding the Fourth Proportional to 5,209, 7,813.52 and 2,131

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Solution

The fourth proportional to 5,209, 7,813.52 and 2,131 is: 3,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209 : 7,813.52 = 2,131 : x
  2. Step 2: Convert to fraction form
    5,209/7,813.52 = 2,131/x
  3. Step 3: Cross multiply
    5,209x = 7,813.52 × 2,131
  4. Step 4: Simplify right side
    5,209x = 16,650,611.12
  5. Step 5: Solve for x
    x = 16,650,611.12/5,209
  6. Step 6: Final answer
    x = 3,196.51

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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.