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Finding the Fourth Proportional to 5,212.25, 7,815.62 and 3,910.98

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Solution

The fourth proportional to 5,212.25, 7,815.62 and 3,910.98 is: 5,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.25 : 7,815.62 = 3,910.98 : x
  2. Step 2: Convert to fraction form
    5,212.25/7,815.62 = 3,910.98/x
  3. Step 3: Cross multiply
    5,212.25x = 7,815.62 × 3,910.98
  4. Step 4: Simplify right side
    5,212.25x = 30,566,713.95
  5. Step 5: Solve for x
    x = 30,566,713.95/5,212.25
  6. Step 6: Final answer
    x = 5,864.40

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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.