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Finding the Fourth Proportional to 6,441.76, 8,887.62 and 3,789.28

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Solution

The fourth proportional to 6,441.76, 8,887.62 and 3,789.28 is: 5,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.76 : 8,887.62 = 3,789.28 : x
  2. Step 2: Convert to fraction form
    6,441.76/8,887.62 = 3,789.28/x
  3. Step 3: Cross multiply
    6,441.76x = 8,887.62 × 3,789.28
  4. Step 4: Simplify right side
    6,441.76x = 33,677,680.71
  5. Step 5: Solve for x
    x = 33,677,680.71/6,441.76
  6. Step 6: Final answer
    x = 5,228.02

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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.