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Finding the Fourth Proportional to 3,826.44, 5,712.12 and 3,564

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Solution

The fourth proportional to 3,826.44, 5,712.12 and 3,564 is: 5,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.44 : 5,712.12 = 3,564 : x
  2. Step 2: Convert to fraction form
    3,826.44/5,712.12 = 3,564/x
  3. Step 3: Cross multiply
    3,826.44x = 5,712.12 × 3,564
  4. Step 4: Simplify right side
    3,826.44x = 20,357,995.68
  5. Step 5: Solve for x
    x = 20,357,995.68/3,826.44
  6. Step 6: Final answer
    x = 5,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.