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Finding the Fourth Proportional to 5,840.29, 8,059.67 and 3,187.74

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Solution

The fourth proportional to 5,840.29, 8,059.67 and 3,187.74 is: 4,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.29 : 8,059.67 = 3,187.74 : x
  2. Step 2: Convert to fraction form
    5,840.29/8,059.67 = 3,187.74/x
  3. Step 3: Cross multiply
    5,840.29x = 8,059.67 × 3,187.74
  4. Step 4: Simplify right side
    5,840.29x = 25,692,132.45
  5. Step 5: Solve for x
    x = 25,692,132.45/5,840.29
  6. Step 6: Final answer
    x = 4,399.12

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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.