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Finding the Fourth Proportional to 3,222.27, 4,833.45 and 913.77

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Solution

The fourth proportional to 3,222.27, 4,833.45 and 913.77 is: 1,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.27 : 4,833.45 = 913.77 : x
  2. Step 2: Convert to fraction form
    3,222.27/4,833.45 = 913.77/x
  3. Step 3: Cross multiply
    3,222.27x = 4,833.45 × 913.77
  4. Step 4: Simplify right side
    3,222.27x = 4,416,661.61
  5. Step 5: Solve for x
    x = 4,416,661.61/3,222.27
  6. Step 6: Final answer
    x = 1,370.67

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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.