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Finding the Fourth Proportional to 6,441.12, 8,890.26 and 4,199.08

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Solution

The fourth proportional to 6,441.12, 8,890.26 and 4,199.08 is: 5,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.12 : 8,890.26 = 4,199.08 : x
  2. Step 2: Convert to fraction form
    6,441.12/8,890.26 = 4,199.08/x
  3. Step 3: Cross multiply
    6,441.12x = 8,890.26 × 4,199.08
  4. Step 4: Simplify right side
    6,441.12x = 37,330,912.96
  5. Step 5: Solve for x
    x = 37,330,912.96/6,441.12
  6. Step 6: Final answer
    x = 5,795.72

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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.