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Finding the Fourth Proportional to 5,465.25, 7,542.09 and 3,107.25

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Solution

The fourth proportional to 5,465.25, 7,542.09 and 3,107.25 is: 4,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.25 : 7,542.09 = 3,107.25 : x
  2. Step 2: Convert to fraction form
    5,465.25/7,542.09 = 3,107.25/x
  3. Step 3: Cross multiply
    5,465.25x = 7,542.09 × 3,107.25
  4. Step 4: Simplify right side
    5,465.25x = 23,435,159.15
  5. Step 5: Solve for x
    x = 23,435,159.15/5,465.25
  6. Step 6: Final answer
    x = 4,288.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.