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Finding the Fourth Proportional to 3,144.38, 4,709.26 and 3,035.02

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Solution

The fourth proportional to 3,144.38, 4,709.26 and 3,035.02 is: 4,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.38 : 4,709.26 = 3,035.02 : x
  2. Step 2: Convert to fraction form
    3,144.38/4,709.26 = 3,035.02/x
  3. Step 3: Cross multiply
    3,144.38x = 4,709.26 × 3,035.02
  4. Step 4: Simplify right side
    3,144.38x = 14,292,698.29
  5. Step 5: Solve for x
    x = 14,292,698.29/3,144.38
  6. Step 6: Final answer
    x = 4,545.47

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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.