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Finding the Fourth Proportional to 4,760.24, 6,553.08 and 4,106

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Solution

The fourth proportional to 4,760.24, 6,553.08 and 4,106 is: 5,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.24 : 6,553.08 = 4,106 : x
  2. Step 2: Convert to fraction form
    4,760.24/6,553.08 = 4,106/x
  3. Step 3: Cross multiply
    4,760.24x = 6,553.08 × 4,106
  4. Step 4: Simplify right side
    4,760.24x = 26,906,946.48
  5. Step 5: Solve for x
    x = 26,906,946.48/4,760.24
  6. Step 6: Final answer
    x = 5,652.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.