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Finding the Fourth Proportional to 4,221.96, 5,826.28 and 2,453.91

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Solution

The fourth proportional to 4,221.96, 5,826.28 and 2,453.91 is: 3,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.96 : 5,826.28 = 2,453.91 : x
  2. Step 2: Convert to fraction form
    4,221.96/5,826.28 = 2,453.91/x
  3. Step 3: Cross multiply
    4,221.96x = 5,826.28 × 2,453.91
  4. Step 4: Simplify right side
    4,221.96x = 14,297,166.75
  5. Step 5: Solve for x
    x = 14,297,166.75/4,221.96
  6. Step 6: Final answer
    x = 3,386.38

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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.