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Finding the Fourth Proportional to 3,827.43, 5,741.28 and 1,054.31

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Solution

The fourth proportional to 3,827.43, 5,741.28 and 1,054.31 is: 1,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.43 : 5,741.28 = 1,054.31 : x
  2. Step 2: Convert to fraction form
    3,827.43/5,741.28 = 1,054.31/x
  3. Step 3: Cross multiply
    3,827.43x = 5,741.28 × 1,054.31
  4. Step 4: Simplify right side
    3,827.43x = 6,053,083.65
  5. Step 5: Solve for x
    x = 6,053,083.65/3,827.43
  6. Step 6: Final answer
    x = 1,581.50

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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.