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Finding the Fourth Proportional to 3,076.38, 4,615.38 and 2,264.36

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Solution

The fourth proportional to 3,076.38, 4,615.38 and 2,264.36 is: 3,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.38 : 4,615.38 = 2,264.36 : x
  2. Step 2: Convert to fraction form
    3,076.38/4,615.38 = 2,264.36/x
  3. Step 3: Cross multiply
    3,076.38x = 4,615.38 × 2,264.36
  4. Step 4: Simplify right side
    3,076.38x = 10,450,858.78
  5. Step 5: Solve for x
    x = 10,450,858.78/3,076.38
  6. Step 6: Final answer
    x = 3,397.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.