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Finding the Fourth Proportional to 4,737.24, 7,106.27 and 1,227.22

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Solution

The fourth proportional to 4,737.24, 7,106.27 and 1,227.22 is: 1,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.24 : 7,106.27 = 1,227.22 : x
  2. Step 2: Convert to fraction form
    4,737.24/7,106.27 = 1,227.22/x
  3. Step 3: Cross multiply
    4,737.24x = 7,106.27 × 1,227.22
  4. Step 4: Simplify right side
    4,737.24x = 8,720,956.67
  5. Step 5: Solve for x
    x = 8,720,956.67/4,737.24
  6. Step 6: Final answer
    x = 1,840.94

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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.