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Finding the Fourth Proportional to 4,751.43, 7,127.04 and 2,564.43

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Solution

The fourth proportional to 4,751.43, 7,127.04 and 2,564.43 is: 3,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.43 : 7,127.04 = 2,564.43 : x
  2. Step 2: Convert to fraction form
    4,751.43/7,127.04 = 2,564.43/x
  3. Step 3: Cross multiply
    4,751.43x = 7,127.04 × 2,564.43
  4. Step 4: Simplify right side
    4,751.43x = 18,276,795.19
  5. Step 5: Solve for x
    x = 18,276,795.19/4,751.43
  6. Step 6: Final answer
    x = 3,846.59

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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.