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Finding the Fourth Proportional to 5,212.77, 7,819.16 and 1,317.17

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Solution

The fourth proportional to 5,212.77, 7,819.16 and 1,317.17 is: 1,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.77 : 7,819.16 = 1,317.17 : x
  2. Step 2: Convert to fraction form
    5,212.77/7,819.16 = 1,317.17/x
  3. Step 3: Cross multiply
    5,212.77x = 7,819.16 × 1,317.17
  4. Step 4: Simplify right side
    5,212.77x = 10,299,175.94
  5. Step 5: Solve for x
    x = 10,299,175.94/5,212.77
  6. Step 6: Final answer
    x = 1,975.76

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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.