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Finding the Fourth Proportional to 5,899.94, 8,140.61 and 3,414.50

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Solution

The fourth proportional to 5,899.94, 8,140.61 and 3,414.50 is: 4,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.94 : 8,140.61 = 3,414.50 : x
  2. Step 2: Convert to fraction form
    5,899.94/8,140.61 = 3,414.50/x
  3. Step 3: Cross multiply
    5,899.94x = 8,140.61 × 3,414.50
  4. Step 4: Simplify right side
    5,899.94x = 27,796,112.85
  5. Step 5: Solve for x
    x = 27,796,112.85/5,899.94
  6. Step 6: Final answer
    x = 4,711.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.