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Finding the Fourth Proportional to 3,423.87, 4,720.66 and 2,857.52

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Solution

The fourth proportional to 3,423.87, 4,720.66 and 2,857.52 is: 3,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.87 : 4,720.66 = 2,857.52 : x
  2. Step 2: Convert to fraction form
    3,423.87/4,720.66 = 2,857.52/x
  3. Step 3: Cross multiply
    3,423.87x = 4,720.66 × 2,857.52
  4. Step 4: Simplify right side
    3,423.87x = 13,489,366.08
  5. Step 5: Solve for x
    x = 13,489,366.08/3,423.87
  6. Step 6: Final answer
    x = 3,939.81

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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.