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Finding the Fourth Proportional to 5,216.87, 7,822.86 and 3,026.22

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Solution

The fourth proportional to 5,216.87, 7,822.86 and 3,026.22 is: 4,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.87 : 7,822.86 = 3,026.22 : x
  2. Step 2: Convert to fraction form
    5,216.87/7,822.86 = 3,026.22/x
  3. Step 3: Cross multiply
    5,216.87x = 7,822.86 × 3,026.22
  4. Step 4: Simplify right side
    5,216.87x = 23,673,695.39
  5. Step 5: Solve for x
    x = 23,673,695.39/5,216.87
  6. Step 6: Final answer
    x = 4,537.92

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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.