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Finding the Fourth Proportional to 5,212.68, 7,821.90 and 4,296.36

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Solution

The fourth proportional to 5,212.68, 7,821.90 and 4,296.36 is: 6,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.68 : 7,821.90 = 4,296.36 : x
  2. Step 2: Convert to fraction form
    5,212.68/7,821.90 = 4,296.36/x
  3. Step 3: Cross multiply
    5,212.68x = 7,821.90 × 4,296.36
  4. Step 4: Simplify right side
    5,212.68x = 33,605,698.28
  5. Step 5: Solve for x
    x = 33,605,698.28/5,212.68
  6. Step 6: Final answer
    x = 6,446.91

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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.