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Finding the Fourth Proportional to 4,203.16, 6,299.87 and 2,230.71

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Solution

The fourth proportional to 4,203.16, 6,299.87 and 2,230.71 is: 3,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.16 : 6,299.87 = 2,230.71 : x
  2. Step 2: Convert to fraction form
    4,203.16/6,299.87 = 2,230.71/x
  3. Step 3: Cross multiply
    4,203.16x = 6,299.87 × 2,230.71
  4. Step 4: Simplify right side
    4,203.16x = 14,053,157.09
  5. Step 5: Solve for x
    x = 14,053,157.09/4,203.16
  6. Step 6: Final answer
    x = 3,343.48

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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.