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Finding the Fourth Proportional to 5,216.58, 7,822.44 and 3,025.94

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Solution

The fourth proportional to 5,216.58, 7,822.44 and 3,025.94 is: 4,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.58 : 7,822.44 = 3,025.94 : x
  2. Step 2: Convert to fraction form
    5,216.58/7,822.44 = 3,025.94/x
  3. Step 3: Cross multiply
    5,216.58x = 7,822.44 × 3,025.94
  4. Step 4: Simplify right side
    5,216.58x = 23,670,194.98
  5. Step 5: Solve for x
    x = 23,670,194.98/5,216.58
  6. Step 6: Final answer
    x = 4,537.49

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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.