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Finding the Fourth Proportional to 5,212.82, 7,819.23 and 1,752.50

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Solution

The fourth proportional to 5,212.82, 7,819.23 and 1,752.50 is: 2,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.82 : 7,819.23 = 1,752.50 : x
  2. Step 2: Convert to fraction form
    5,212.82/7,819.23 = 1,752.50/x
  3. Step 3: Cross multiply
    5,212.82x = 7,819.23 × 1,752.50
  4. Step 4: Simplify right side
    5,212.82x = 13,703,161.48
  5. Step 5: Solve for x
    x = 13,703,161.48/5,212.82
  6. Step 6: Final answer
    x = 2,628.75

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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.