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Finding the Fourth Proportional to 5,756.13, 8,634.16 and 1,481.84

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Solution

The fourth proportional to 5,756.13, 8,634.16 and 1,481.84 is: 2,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.13 : 8,634.16 = 1,481.84 : x
  2. Step 2: Convert to fraction form
    5,756.13/8,634.16 = 1,481.84/x
  3. Step 3: Cross multiply
    5,756.13x = 8,634.16 × 1,481.84
  4. Step 4: Simplify right side
    5,756.13x = 12,794,461.54
  5. Step 5: Solve for x
    x = 12,794,461.54/5,756.13
  6. Step 6: Final answer
    x = 2,222.75

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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.