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Finding the Fourth Proportional to 4,818.76, 7,222.22 and 2,740.50

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Solution

The fourth proportional to 4,818.76, 7,222.22 and 2,740.50 is: 4,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.76 : 7,222.22 = 2,740.50 : x
  2. Step 2: Convert to fraction form
    4,818.76/7,222.22 = 2,740.50/x
  3. Step 3: Cross multiply
    4,818.76x = 7,222.22 × 2,740.50
  4. Step 4: Simplify right side
    4,818.76x = 19,792,493.91
  5. Step 5: Solve for x
    x = 19,792,493.91/4,818.76
  6. Step 6: Final answer
    x = 4,107.38

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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.