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Finding the Fourth Proportional to 4,471.08, 6,717.56 and 4,222.41

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Solution

The fourth proportional to 4,471.08, 6,717.56 and 4,222.41 is: 6,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.08 : 6,717.56 = 4,222.41 : x
  2. Step 2: Convert to fraction form
    4,471.08/6,717.56 = 4,222.41/x
  3. Step 3: Cross multiply
    4,471.08x = 6,717.56 × 4,222.41
  4. Step 4: Simplify right side
    4,471.08x = 28,364,271.41
  5. Step 5: Solve for x
    x = 28,364,271.41/4,471.08
  6. Step 6: Final answer
    x = 6,343.94

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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.