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Finding the Fourth Proportional to 4,861.94, 7,301.69 and 4,471.22

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Solution

The fourth proportional to 4,861.94, 7,301.69 and 4,471.22 is: 6,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.94 : 7,301.69 = 4,471.22 : x
  2. Step 2: Convert to fraction form
    4,861.94/7,301.69 = 4,471.22/x
  3. Step 3: Cross multiply
    4,861.94x = 7,301.69 × 4,471.22
  4. Step 4: Simplify right side
    4,861.94x = 32,647,462.36
  5. Step 5: Solve for x
    x = 32,647,462.36/4,861.94
  6. Step 6: Final answer
    x = 6,714.90

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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.