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Finding the Fourth Proportional to 5,212.90, 7,815.12 and 2,091.52

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Solution

The fourth proportional to 5,212.90, 7,815.12 and 2,091.52 is: 3,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.90 : 7,815.12 = 2,091.52 : x
  2. Step 2: Convert to fraction form
    5,212.90/7,815.12 = 2,091.52/x
  3. Step 3: Cross multiply
    5,212.90x = 7,815.12 × 2,091.52
  4. Step 4: Simplify right side
    5,212.90x = 16,345,479.78
  5. Step 5: Solve for x
    x = 16,345,479.78/5,212.90
  6. Step 6: Final answer
    x = 3,135.58

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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.