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Finding the Fourth Proportional to 5,891.94, 8,131.05 and 3,374.86

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Solution

The fourth proportional to 5,891.94, 8,131.05 and 3,374.86 is: 4,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.94 : 8,131.05 = 3,374.86 : x
  2. Step 2: Convert to fraction form
    5,891.94/8,131.05 = 3,374.86/x
  3. Step 3: Cross multiply
    5,891.94x = 8,131.05 × 3,374.86
  4. Step 4: Simplify right side
    5,891.94x = 27,441,155.40
  5. Step 5: Solve for x
    x = 27,441,155.40/5,891.94
  6. Step 6: Final answer
    x = 4,657.41

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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.