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Finding the Fourth Proportional to 4,751.46, 7,127.19 and 3,014.82

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Solution

The fourth proportional to 4,751.46, 7,127.19 and 3,014.82 is: 4,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.46 : 7,127.19 = 3,014.82 : x
  2. Step 2: Convert to fraction form
    4,751.46/7,127.19 = 3,014.82/x
  3. Step 3: Cross multiply
    4,751.46x = 7,127.19 × 3,014.82
  4. Step 4: Simplify right side
    4,751.46x = 21,487,194.96
  5. Step 5: Solve for x
    x = 21,487,194.96/4,751.46
  6. Step 6: Final answer
    x = 4,522.23

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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.