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Finding the Fourth Proportional to 4,572.27, 6,311.93 and 2,894.49

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Solution

The fourth proportional to 4,572.27, 6,311.93 and 2,894.49 is: 3,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.27 : 6,311.93 = 2,894.49 : x
  2. Step 2: Convert to fraction form
    4,572.27/6,311.93 = 2,894.49/x
  3. Step 3: Cross multiply
    4,572.27x = 6,311.93 × 2,894.49
  4. Step 4: Simplify right side
    4,572.27x = 18,269,803.79
  5. Step 5: Solve for x
    x = 18,269,803.79/4,572.27
  6. Step 6: Final answer
    x = 3,995.78

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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.