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Finding the Fourth Proportional to 3,107.97, 4,655.34 and 2,009.07

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Solution

The fourth proportional to 3,107.97, 4,655.34 and 2,009.07 is: 3,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.97 : 4,655.34 = 2,009.07 : x
  2. Step 2: Convert to fraction form
    3,107.97/4,655.34 = 2,009.07/x
  3. Step 3: Cross multiply
    3,107.97x = 4,655.34 × 2,009.07
  4. Step 4: Simplify right side
    3,107.97x = 9,352,903.93
  5. Step 5: Solve for x
    x = 9,352,903.93/3,107.97
  6. Step 6: Final answer
    x = 3,009.33

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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.