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Finding the Fourth Proportional to 6,441.62, 8,889.32 and 3,608.96

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Solution

The fourth proportional to 6,441.62, 8,889.32 and 3,608.96 is: 4,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.62 : 8,889.32 = 3,608.96 : x
  2. Step 2: Convert to fraction form
    6,441.62/8,889.32 = 3,608.96/x
  3. Step 3: Cross multiply
    6,441.62x = 8,889.32 × 3,608.96
  4. Step 4: Simplify right side
    6,441.62x = 32,081,200.31
  5. Step 5: Solve for x
    x = 32,081,200.31/6,441.62
  6. Step 6: Final answer
    x = 4,980.30

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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.