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Finding the Fourth Proportional to 4,760.50, 6,569.50 and 2,664.68

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Solution

The fourth proportional to 4,760.50, 6,569.50 and 2,664.68 is: 3,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.50 : 6,569.50 = 2,664.68 : x
  2. Step 2: Convert to fraction form
    4,760.50/6,569.50 = 2,664.68/x
  3. Step 3: Cross multiply
    4,760.50x = 6,569.50 × 2,664.68
  4. Step 4: Simplify right side
    4,760.50x = 17,505,615.26
  5. Step 5: Solve for x
    x = 17,505,615.26/4,760.50
  6. Step 6: Final answer
    x = 3,677.26

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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.