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Finding the Fourth Proportional to 6,107.16, 9,162.82 and 2,597.02

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Solution

The fourth proportional to 6,107.16, 9,162.82 and 2,597.02 is: 3,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.16 : 9,162.82 = 2,597.02 : x
  2. Step 2: Convert to fraction form
    6,107.16/9,162.82 = 2,597.02/x
  3. Step 3: Cross multiply
    6,107.16x = 9,162.82 × 2,597.02
  4. Step 4: Simplify right side
    6,107.16x = 23,796,026.80
  5. Step 5: Solve for x
    x = 23,796,026.80/6,107.16
  6. Step 6: Final answer
    x = 3,896.41

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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.