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Finding the Fourth Proportional to 3,854.32, 5,805.49 and 3,583.96

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Solution

The fourth proportional to 3,854.32, 5,805.49 and 3,583.96 is: 5,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.32 : 5,805.49 = 3,583.96 : x
  2. Step 2: Convert to fraction form
    3,854.32/5,805.49 = 3,583.96/x
  3. Step 3: Cross multiply
    3,854.32x = 5,805.49 × 3,583.96
  4. Step 4: Simplify right side
    3,854.32x = 20,806,643.94
  5. Step 5: Solve for x
    x = 20,806,643.94/3,854.32
  6. Step 6: Final answer
    x = 5,398.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.