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Finding the Fourth Proportional to 5,461.02, 8,188.70 and 1,949.67

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Solution

The fourth proportional to 5,461.02, 8,188.70 and 1,949.67 is: 2,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.02 : 8,188.70 = 1,949.67 : x
  2. Step 2: Convert to fraction form
    5,461.02/8,188.70 = 1,949.67/x
  3. Step 3: Cross multiply
    5,461.02x = 8,188.70 × 1,949.67
  4. Step 4: Simplify right side
    5,461.02x = 15,965,252.98
  5. Step 5: Solve for x
    x = 15,965,252.98/5,461.02
  6. Step 6: Final answer
    x = 2,923.49

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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.