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Finding the Fourth Proportional to 5,840.24, 8,059.50 and 3,187.65

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Solution

The fourth proportional to 5,840.24, 8,059.50 and 3,187.65 is: 4,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.24 : 8,059.50 = 3,187.65 : x
  2. Step 2: Convert to fraction form
    5,840.24/8,059.50 = 3,187.65/x
  3. Step 3: Cross multiply
    5,840.24x = 8,059.50 × 3,187.65
  4. Step 4: Simplify right side
    5,840.24x = 25,690,895.40
  5. Step 5: Solve for x
    x = 25,690,895.40/5,840.24
  6. Step 6: Final answer
    x = 4,398.95

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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.