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Finding the Fourth Proportional to 4,586.22, 6,873.98 and 4,067.24

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Solution

The fourth proportional to 4,586.22, 6,873.98 and 4,067.24 is: 6,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.22 : 6,873.98 = 4,067.24 : x
  2. Step 2: Convert to fraction form
    4,586.22/6,873.98 = 4,067.24/x
  3. Step 3: Cross multiply
    4,586.22x = 6,873.98 × 4,067.24
  4. Step 4: Simplify right side
    4,586.22x = 27,958,071.71
  5. Step 5: Solve for x
    x = 27,958,071.71/4,586.22
  6. Step 6: Final answer
    x = 6,096.10

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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.