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Finding the Fourth Proportional to 5,939.75, 8,187.41 and 4,678.81

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Solution

The fourth proportional to 5,939.75, 8,187.41 and 4,678.81 is: 6,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.75 : 8,187.41 = 4,678.81 : x
  2. Step 2: Convert to fraction form
    5,939.75/8,187.41 = 4,678.81/x
  3. Step 3: Cross multiply
    5,939.75x = 8,187.41 × 4,678.81
  4. Step 4: Simplify right side
    5,939.75x = 38,307,327.01
  5. Step 5: Solve for x
    x = 38,307,327.01/5,939.75
  6. Step 6: Final answer
    x = 6,449.31

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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.