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Finding the Fourth Proportional to 6,145.28, 8,480.64 and 3,788.96

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Solution

The fourth proportional to 6,145.28, 8,480.64 and 3,788.96 is: 5,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.28 : 8,480.64 = 3,788.96 : x
  2. Step 2: Convert to fraction form
    6,145.28/8,480.64 = 3,788.96/x
  3. Step 3: Cross multiply
    6,145.28x = 8,480.64 × 3,788.96
  4. Step 4: Simplify right side
    6,145.28x = 32,132,805.73
  5. Step 5: Solve for x
    x = 32,132,805.73/6,145.28
  6. Step 6: Final answer
    x = 5,228.86

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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.