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Finding the Fourth Proportional to 6,008, 8,288.72 and 3,768.96

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Solution

The fourth proportional to 6,008, 8,288.72 and 3,768.96 is: 5,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008 : 8,288.72 = 3,768.96 : x
  2. Step 2: Convert to fraction form
    6,008/8,288.72 = 3,768.96/x
  3. Step 3: Cross multiply
    6,008x = 8,288.72 × 3,768.96
  4. Step 4: Simplify right side
    6,008x = 31,239,854.13
  5. Step 5: Solve for x
    x = 31,239,854.13/6,008
  6. Step 6: Final answer
    x = 5,199.71

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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.