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Finding the Fourth Proportional to 5,854.14, 8,083.19 and 3,867.41

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Solution

The fourth proportional to 5,854.14, 8,083.19 and 3,867.41 is: 5,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.14 : 8,083.19 = 3,867.41 : x
  2. Step 2: Convert to fraction form
    5,854.14/8,083.19 = 3,867.41/x
  3. Step 3: Cross multiply
    5,854.14x = 8,083.19 × 3,867.41
  4. Step 4: Simplify right side
    5,854.14x = 31,261,039.71
  5. Step 5: Solve for x
    x = 31,261,039.71/5,854.14
  6. Step 6: Final answer
    x = 5,339.99

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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.