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Finding the Fourth Proportional to 5,461.37, 8,189.98 and 1,950.73

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Solution

The fourth proportional to 5,461.37, 8,189.98 and 1,950.73 is: 2,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.37 : 8,189.98 = 1,950.73 : x
  2. Step 2: Convert to fraction form
    5,461.37/8,189.98 = 1,950.73/x
  3. Step 3: Cross multiply
    5,461.37x = 8,189.98 × 1,950.73
  4. Step 4: Simplify right side
    5,461.37x = 15,976,439.69
  5. Step 5: Solve for x
    x = 15,976,439.69/5,461.37
  6. Step 6: Final answer
    x = 2,925.35

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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.