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Finding the Fourth Proportional to 4,747.42, 7,121.13 and 4,014.82

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Solution

The fourth proportional to 4,747.42, 7,121.13 and 4,014.82 is: 6,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.42 : 7,121.13 = 4,014.82 : x
  2. Step 2: Convert to fraction form
    4,747.42/7,121.13 = 4,014.82/x
  3. Step 3: Cross multiply
    4,747.42x = 7,121.13 × 4,014.82
  4. Step 4: Simplify right side
    4,747.42x = 28,590,055.15
  5. Step 5: Solve for x
    x = 28,590,055.15/4,747.42
  6. Step 6: Final answer
    x = 6,022.23

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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.