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Finding the Fourth Proportional to 4,053.29, 6,076.28 and 2,821.28

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Solution

The fourth proportional to 4,053.29, 6,076.28 and 2,821.28 is: 4,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.29 : 6,076.28 = 2,821.28 : x
  2. Step 2: Convert to fraction form
    4,053.29/6,076.28 = 2,821.28/x
  3. Step 3: Cross multiply
    4,053.29x = 6,076.28 × 2,821.28
  4. Step 4: Simplify right side
    4,053.29x = 17,142,863.91
  5. Step 5: Solve for x
    x = 17,142,863.91/4,053.29
  6. Step 6: Final answer
    x = 4,229.38

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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.