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Finding the Fourth Proportional to 5,827.29, 8,041.71 and 3,437.31

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Solution

The fourth proportional to 5,827.29, 8,041.71 and 3,437.31 is: 4,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.29 : 8,041.71 = 3,437.31 : x
  2. Step 2: Convert to fraction form
    5,827.29/8,041.71 = 3,437.31/x
  3. Step 3: Cross multiply
    5,827.29x = 8,041.71 × 3,437.31
  4. Step 4: Simplify right side
    5,827.29x = 27,641,833.01
  5. Step 5: Solve for x
    x = 27,641,833.01/5,827.29
  6. Step 6: Final answer
    x = 4,743.52

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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.