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Finding the Fourth Proportional to 5,311.18, 7,966.82 and 1,846

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Solution

The fourth proportional to 5,311.18, 7,966.82 and 1,846 is: 2,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.18 : 7,966.82 = 1,846 : x
  2. Step 2: Convert to fraction form
    5,311.18/7,966.82 = 1,846/x
  3. Step 3: Cross multiply
    5,311.18x = 7,966.82 × 1,846
  4. Step 4: Simplify right side
    5,311.18x = 14,706,749.72
  5. Step 5: Solve for x
    x = 14,706,749.72/5,311.18
  6. Step 6: Final answer
    x = 2,769.02

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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.