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Finding the Fourth Proportional to 5,397, 8,095.82 and 1,699.34

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Solution

The fourth proportional to 5,397, 8,095.82 and 1,699.34 is: 2,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397 : 8,095.82 = 1,699.34 : x
  2. Step 2: Convert to fraction form
    5,397/8,095.82 = 1,699.34/x
  3. Step 3: Cross multiply
    5,397x = 8,095.82 × 1,699.34
  4. Step 4: Simplify right side
    5,397x = 13,757,550.76
  5. Step 5: Solve for x
    x = 13,757,550.76/5,397
  6. Step 6: Final answer
    x = 2,549.11

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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.