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Finding the Fourth Proportional to 3,908.41, 5,863.07 and 1,569.23

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Solution

The fourth proportional to 3,908.41, 5,863.07 and 1,569.23 is: 2,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.41 : 5,863.07 = 1,569.23 : x
  2. Step 2: Convert to fraction form
    3,908.41/5,863.07 = 1,569.23/x
  3. Step 3: Cross multiply
    3,908.41x = 5,863.07 × 1,569.23
  4. Step 4: Simplify right side
    3,908.41x = 9,200,505.34
  5. Step 5: Solve for x
    x = 9,200,505.34/3,908.41
  6. Step 6: Final answer
    x = 2,354.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.