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Finding the Fourth Proportional to 4,154.69, 5,725.99 and 3,406.25

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Solution

The fourth proportional to 4,154.69, 5,725.99 and 3,406.25 is: 4,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.69 : 5,725.99 = 3,406.25 : x
  2. Step 2: Convert to fraction form
    4,154.69/5,725.99 = 3,406.25/x
  3. Step 3: Cross multiply
    4,154.69x = 5,725.99 × 3,406.25
  4. Step 4: Simplify right side
    4,154.69x = 19,504,172.01
  5. Step 5: Solve for x
    x = 19,504,172.01/4,154.69
  6. Step 6: Final answer
    x = 4,694.49

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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.