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Finding the Fourth Proportional to 3,144.37, 4,709.25 and 3,035.02

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Solution

The fourth proportional to 3,144.37, 4,709.25 and 3,035.02 is: 4,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.37 : 4,709.25 = 3,035.02 : x
  2. Step 2: Convert to fraction form
    3,144.37/4,709.25 = 3,035.02/x
  3. Step 3: Cross multiply
    3,144.37x = 4,709.25 × 3,035.02
  4. Step 4: Simplify right side
    3,144.37x = 14,292,667.94
  5. Step 5: Solve for x
    x = 14,292,667.94/3,144.37
  6. Step 6: Final answer
    x = 4,545.48

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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.