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Finding the Fourth Proportional to 4,943.53, 7,380.05 and 4,770.49

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Solution

The fourth proportional to 4,943.53, 7,380.05 and 4,770.49 is: 7,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.53 : 7,380.05 = 4,770.49 : x
  2. Step 2: Convert to fraction form
    4,943.53/7,380.05 = 4,770.49/x
  3. Step 3: Cross multiply
    4,943.53x = 7,380.05 × 4,770.49
  4. Step 4: Simplify right side
    4,943.53x = 35,206,454.72
  5. Step 5: Solve for x
    x = 35,206,454.72/4,943.53
  6. Step 6: Final answer
    x = 7,121.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.