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Finding the Fourth Proportional to 5,468.34, 8,203.29 and 1,769.34

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Solution

The fourth proportional to 5,468.34, 8,203.29 and 1,769.34 is: 2,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.34 : 8,203.29 = 1,769.34 : x
  2. Step 2: Convert to fraction form
    5,468.34/8,203.29 = 1,769.34/x
  3. Step 3: Cross multiply
    5,468.34x = 8,203.29 × 1,769.34
  4. Step 4: Simplify right side
    5,468.34x = 14,514,409.13
  5. Step 5: Solve for x
    x = 14,514,409.13/5,468.34
  6. Step 6: Final answer
    x = 2,654.26

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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.