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Finding the Fourth Proportional to 4,593, 6,889.92 and 2,127.48

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Solution

The fourth proportional to 4,593, 6,889.92 and 2,127.48 is: 3,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593 : 6,889.92 = 2,127.48 : x
  2. Step 2: Convert to fraction form
    4,593/6,889.92 = 2,127.48/x
  3. Step 3: Cross multiply
    4,593x = 6,889.92 × 2,127.48
  4. Step 4: Simplify right side
    4,593x = 14,658,167.00
  5. Step 5: Solve for x
    x = 14,658,167.00/4,593
  6. Step 6: Final answer
    x = 3,191.41

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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.