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Finding the Fourth Proportional to 6,544.72, 9,811.23 and 2,381.79

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Solution

The fourth proportional to 6,544.72, 9,811.23 and 2,381.79 is: 3,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.72 : 9,811.23 = 2,381.79 : x
  2. Step 2: Convert to fraction form
    6,544.72/9,811.23 = 2,381.79/x
  3. Step 3: Cross multiply
    6,544.72x = 9,811.23 × 2,381.79
  4. Step 4: Simplify right side
    6,544.72x = 23,368,289.50
  5. Step 5: Solve for x
    x = 23,368,289.50/6,544.72
  6. Step 6: Final answer
    x = 3,570.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.