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Finding the Fourth Proportional to 5,185.58, 7,772.21 and 2,989.77

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Solution

The fourth proportional to 5,185.58, 7,772.21 and 2,989.77 is: 4,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.58 : 7,772.21 = 2,989.77 : x
  2. Step 2: Convert to fraction form
    5,185.58/7,772.21 = 2,989.77/x
  3. Step 3: Cross multiply
    5,185.58x = 7,772.21 × 2,989.77
  4. Step 4: Simplify right side
    5,185.58x = 23,237,087.41
  5. Step 5: Solve for x
    x = 23,237,087.41/5,185.58
  6. Step 6: Final answer
    x = 4,481.10

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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.