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Finding the Fourth Proportional to 5,796.22, 8,694.78 and 1,901.02

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Solution

The fourth proportional to 5,796.22, 8,694.78 and 1,901.02 is: 2,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.22 : 8,694.78 = 1,901.02 : x
  2. Step 2: Convert to fraction form
    5,796.22/8,694.78 = 1,901.02/x
  3. Step 3: Cross multiply
    5,796.22x = 8,694.78 × 1,901.02
  4. Step 4: Simplify right side
    5,796.22x = 16,528,950.68
  5. Step 5: Solve for x
    x = 16,528,950.68/5,796.22
  6. Step 6: Final answer
    x = 2,851.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.