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Finding the Fourth Proportional to 5,263.56, 7,889.85 and 2,142.21

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Solution

The fourth proportional to 5,263.56, 7,889.85 and 2,142.21 is: 3,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.56 : 7,889.85 = 2,142.21 : x
  2. Step 2: Convert to fraction form
    5,263.56/7,889.85 = 2,142.21/x
  3. Step 3: Cross multiply
    5,263.56x = 7,889.85 × 2,142.21
  4. Step 4: Simplify right side
    5,263.56x = 16,901,715.57
  5. Step 5: Solve for x
    x = 16,901,715.57/5,263.56
  6. Step 6: Final answer
    x = 3,211.08

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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.