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Finding the Fourth Proportional to 5,840.34, 8,059.77 and 3,187.77

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Solution

The fourth proportional to 5,840.34, 8,059.77 and 3,187.77 is: 4,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.34 : 8,059.77 = 3,187.77 : x
  2. Step 2: Convert to fraction form
    5,840.34/8,059.77 = 3,187.77/x
  3. Step 3: Cross multiply
    5,840.34x = 8,059.77 × 3,187.77
  4. Step 4: Simplify right side
    5,840.34x = 25,692,693.01
  5. Step 5: Solve for x
    x = 25,692,693.01/5,840.34
  6. Step 6: Final answer
    x = 4,399.18

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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.