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Finding the Fourth Proportional to 3,399, 4,688.39 and 2,453.19

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Solution

The fourth proportional to 3,399, 4,688.39 and 2,453.19 is: 3,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399 : 4,688.39 = 2,453.19 : x
  2. Step 2: Convert to fraction form
    3,399/4,688.39 = 2,453.19/x
  3. Step 3: Cross multiply
    3,399x = 4,688.39 × 2,453.19
  4. Step 4: Simplify right side
    3,399x = 11,501,499.20
  5. Step 5: Solve for x
    x = 11,501,499.20/3,399
  6. Step 6: Final answer
    x = 3,383.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.