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Finding the Fourth Proportional to 3,107.09, 4,657.27 and 1,548.26

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Solution

The fourth proportional to 3,107.09, 4,657.27 and 1,548.26 is: 2,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.09 : 4,657.27 = 1,548.26 : x
  2. Step 2: Convert to fraction form
    3,107.09/4,657.27 = 1,548.26/x
  3. Step 3: Cross multiply
    3,107.09x = 4,657.27 × 1,548.26
  4. Step 4: Simplify right side
    3,107.09x = 7,210,664.85
  5. Step 5: Solve for x
    x = 7,210,664.85/3,107.09
  6. Step 6: Final answer
    x = 2,320.71

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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.