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Finding the Fourth Proportional to 4,760.48, 6,569.34 and 2,771.39

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Solution

The fourth proportional to 4,760.48, 6,569.34 and 2,771.39 is: 3,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.48 : 6,569.34 = 2,771.39 : x
  2. Step 2: Convert to fraction form
    4,760.48/6,569.34 = 2,771.39/x
  3. Step 3: Cross multiply
    4,760.48x = 6,569.34 × 2,771.39
  4. Step 4: Simplify right side
    4,760.48x = 18,206,203.18
  5. Step 5: Solve for x
    x = 18,206,203.18/4,760.48
  6. Step 6: Final answer
    x = 3,824.45

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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.