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Finding the Fourth Proportional to 3,821.38, 5,274.62 and 2,495.29

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Solution

The fourth proportional to 3,821.38, 5,274.62 and 2,495.29 is: 3,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.38 : 5,274.62 = 2,495.29 : x
  2. Step 2: Convert to fraction form
    3,821.38/5,274.62 = 2,495.29/x
  3. Step 3: Cross multiply
    3,821.38x = 5,274.62 × 2,495.29
  4. Step 4: Simplify right side
    3,821.38x = 13,161,699.59
  5. Step 5: Solve for x
    x = 13,161,699.59/3,821.38
  6. Step 6: Final answer
    x = 3,444.23

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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.