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Finding the Fourth Proportional to 4,757, 6,564.66 and 2,661.14

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Solution

The fourth proportional to 4,757, 6,564.66 and 2,661.14 is: 3,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757 : 6,564.66 = 2,661.14 : x
  2. Step 2: Convert to fraction form
    4,757/6,564.66 = 2,661.14/x
  3. Step 3: Cross multiply
    4,757x = 6,564.66 × 2,661.14
  4. Step 4: Simplify right side
    4,757x = 17,469,479.31
  5. Step 5: Solve for x
    x = 17,469,479.31/4,757
  6. Step 6: Final answer
    x = 3,672.37

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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.