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Finding the Fourth Proportional to 5,223.32, 7,205.46 and 4,229.72

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Solution

The fourth proportional to 5,223.32, 7,205.46 and 4,229.72 is: 5,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.32 : 7,205.46 = 4,229.72 : x
  2. Step 2: Convert to fraction form
    5,223.32/7,205.46 = 4,229.72/x
  3. Step 3: Cross multiply
    5,223.32x = 7,205.46 × 4,229.72
  4. Step 4: Simplify right side
    5,223.32x = 30,477,078.27
  5. Step 5: Solve for x
    x = 30,477,078.27/5,223.32
  6. Step 6: Final answer
    x = 5,834.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.