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Finding the Fourth Proportional to 4,562.22, 6,840.75 and 1,441.65

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Solution

The fourth proportional to 4,562.22, 6,840.75 and 1,441.65 is: 2,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.22 : 6,840.75 = 1,441.65 : x
  2. Step 2: Convert to fraction form
    4,562.22/6,840.75 = 1,441.65/x
  3. Step 3: Cross multiply
    4,562.22x = 6,840.75 × 1,441.65
  4. Step 4: Simplify right side
    4,562.22x = 9,861,967.24
  5. Step 5: Solve for x
    x = 9,861,967.24/4,562.22
  6. Step 6: Final answer
    x = 2,161.66

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