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Finding the Fourth Proportional to 5,663.86, 8,486.56 and 3,467.98

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Solution

The fourth proportional to 5,663.86, 8,486.56 and 3,467.98 is: 5,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.86 : 8,486.56 = 3,467.98 : x
  2. Step 2: Convert to fraction form
    5,663.86/8,486.56 = 3,467.98/x
  3. Step 3: Cross multiply
    5,663.86x = 8,486.56 × 3,467.98
  4. Step 4: Simplify right side
    5,663.86x = 29,431,220.35
  5. Step 5: Solve for x
    x = 29,431,220.35/5,663.86
  6. Step 6: Final answer
    x = 5,196.32

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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.