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Finding the Fourth Proportional to 4,823.04, 7,221.86 and 3,880.97

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Solution

The fourth proportional to 4,823.04, 7,221.86 and 3,880.97 is: 5,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.04 : 7,221.86 = 3,880.97 : x
  2. Step 2: Convert to fraction form
    4,823.04/7,221.86 = 3,880.97/x
  3. Step 3: Cross multiply
    4,823.04x = 7,221.86 × 3,880.97
  4. Step 4: Simplify right side
    4,823.04x = 28,027,766.49
  5. Step 5: Solve for x
    x = 28,027,766.49/4,823.04
  6. Step 6: Final answer
    x = 5,811.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.