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Finding the Fourth Proportional to 4,760.66, 6,564.89 and 3,669.89

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Solution

The fourth proportional to 4,760.66, 6,564.89 and 3,669.89 is: 5,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.66 : 6,564.89 = 3,669.89 : x
  2. Step 2: Convert to fraction form
    4,760.66/6,564.89 = 3,669.89/x
  3. Step 3: Cross multiply
    4,760.66x = 6,564.89 × 3,669.89
  4. Step 4: Simplify right side
    4,760.66x = 24,092,424.16
  5. Step 5: Solve for x
    x = 24,092,424.16/4,760.66
  6. Step 6: Final answer
    x = 5,060.73

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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.