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Finding the Fourth Proportional to 3,914, 5,399.70 and 2,569.24

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Solution

The fourth proportional to 3,914, 5,399.70 and 2,569.24 is: 3,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914 : 5,399.70 = 2,569.24 : x
  2. Step 2: Convert to fraction form
    3,914/5,399.70 = 2,569.24/x
  3. Step 3: Cross multiply
    3,914x = 5,399.70 × 2,569.24
  4. Step 4: Simplify right side
    3,914x = 13,873,125.23
  5. Step 5: Solve for x
    x = 13,873,125.23/3,914
  6. Step 6: Final answer
    x = 3,544.49

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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.