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Finding the Fourth Proportional to 5,493.70, 8,238.93 and 2,895.22

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Solution

The fourth proportional to 5,493.70, 8,238.93 and 2,895.22 is: 4,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.70 : 8,238.93 = 2,895.22 : x
  2. Step 2: Convert to fraction form
    5,493.70/8,238.93 = 2,895.22/x
  3. Step 3: Cross multiply
    5,493.70x = 8,238.93 × 2,895.22
  4. Step 4: Simplify right side
    5,493.70x = 23,853,514.91
  5. Step 5: Solve for x
    x = 23,853,514.91/5,493.70
  6. Step 6: Final answer
    x = 4,341.98

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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.