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Finding the Fourth Proportional to 5,306.44, 7,961.28 and 1,846.12

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Solution

The fourth proportional to 5,306.44, 7,961.28 and 1,846.12 is: 2,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.44 : 7,961.28 = 1,846.12 : x
  2. Step 2: Convert to fraction form
    5,306.44/7,961.28 = 1,846.12/x
  3. Step 3: Cross multiply
    5,306.44x = 7,961.28 × 1,846.12
  4. Step 4: Simplify right side
    5,306.44x = 14,697,478.23
  5. Step 5: Solve for x
    x = 14,697,478.23/5,306.44
  6. Step 6: Final answer
    x = 2,769.74

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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.