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Finding the Fourth Proportional to 4,823.46, 7,222.86 and 4,274.01

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Solution

The fourth proportional to 4,823.46, 7,222.86 and 4,274.01 is: 6,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.46 : 7,222.86 = 4,274.01 : x
  2. Step 2: Convert to fraction form
    4,823.46/7,222.86 = 4,274.01/x
  3. Step 3: Cross multiply
    4,823.46x = 7,222.86 × 4,274.01
  4. Step 4: Simplify right side
    4,823.46x = 30,870,575.87
  5. Step 5: Solve for x
    x = 30,870,575.87/4,823.46
  6. Step 6: Final answer
    x = 6,400.09

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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.