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Finding the Fourth Proportional to 5,107.97, 7,047.24 and 3,317.69

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Solution

The fourth proportional to 5,107.97, 7,047.24 and 3,317.69 is: 4,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.97 : 7,047.24 = 3,317.69 : x
  2. Step 2: Convert to fraction form
    5,107.97/7,047.24 = 3,317.69/x
  3. Step 3: Cross multiply
    5,107.97x = 7,047.24 × 3,317.69
  4. Step 4: Simplify right side
    5,107.97x = 23,380,543.75
  5. Step 5: Solve for x
    x = 23,380,543.75/5,107.97
  6. Step 6: Final answer
    x = 4,577.27

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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.