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Finding the Fourth Proportional to 5,144.25, 7,090.83 and 4,065.75

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Solution

The fourth proportional to 5,144.25, 7,090.83 and 4,065.75 is: 5,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.25 : 7,090.83 = 4,065.75 : x
  2. Step 2: Convert to fraction form
    5,144.25/7,090.83 = 4,065.75/x
  3. Step 3: Cross multiply
    5,144.25x = 7,090.83 × 4,065.75
  4. Step 4: Simplify right side
    5,144.25x = 28,829,542.07
  5. Step 5: Solve for x
    x = 28,829,542.07/5,144.25
  6. Step 6: Final answer
    x = 5,604.23

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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.