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Finding the Fourth Proportional to 6,005.78, 8,288.11 and 3,767.75

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Solution

The fourth proportional to 6,005.78, 8,288.11 and 3,767.75 is: 5,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.78 : 8,288.11 = 3,767.75 : x
  2. Step 2: Convert to fraction form
    6,005.78/8,288.11 = 3,767.75/x
  3. Step 3: Cross multiply
    6,005.78x = 8,288.11 × 3,767.75
  4. Step 4: Simplify right side
    6,005.78x = 31,227,526.45
  5. Step 5: Solve for x
    x = 31,227,526.45/6,005.78
  6. Step 6: Final answer
    x = 5,199.58

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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.