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Finding the Fourth Proportional to 6,166.81, 8,513.01 and 3,931.75

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Solution

The fourth proportional to 6,166.81, 8,513.01 and 3,931.75 is: 5,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.81 : 8,513.01 = 3,931.75 : x
  2. Step 2: Convert to fraction form
    6,166.81/8,513.01 = 3,931.75/x
  3. Step 3: Cross multiply
    6,166.81x = 8,513.01 × 3,931.75
  4. Step 4: Simplify right side
    6,166.81x = 33,471,027.07
  5. Step 5: Solve for x
    x = 33,471,027.07/6,166.81
  6. Step 6: Final answer
    x = 5,427.61

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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.