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Finding the Fourth Proportional to 6,441.56, 8,889.78 and 3,609.16

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Solution

The fourth proportional to 6,441.56, 8,889.78 and 3,609.16 is: 4,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.56 : 8,889.78 = 3,609.16 : x
  2. Step 2: Convert to fraction form
    6,441.56/8,889.78 = 3,609.16/x
  3. Step 3: Cross multiply
    6,441.56x = 8,889.78 × 3,609.16
  4. Step 4: Simplify right side
    6,441.56x = 32,084,638.38
  5. Step 5: Solve for x
    x = 32,084,638.38/6,441.56
  6. Step 6: Final answer
    x = 4,980.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.