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Finding the Fourth Proportional to 5,929.37, 8,182.31 and 3,411.87

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Solution

The fourth proportional to 5,929.37, 8,182.31 and 3,411.87 is: 4,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.37 : 8,182.31 = 3,411.87 : x
  2. Step 2: Convert to fraction form
    5,929.37/8,182.31 = 3,411.87/x
  3. Step 3: Cross multiply
    5,929.37x = 8,182.31 × 3,411.87
  4. Step 4: Simplify right side
    5,929.37x = 27,916,951.38
  5. Step 5: Solve for x
    x = 27,916,951.38/5,929.37
  6. Step 6: Final answer
    x = 4,708.25

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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.