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Finding the Fourth Proportional to 5,716.86, 8,577.86 and 3,636.33

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Solution

The fourth proportional to 5,716.86, 8,577.86 and 3,636.33 is: 5,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.86 : 8,577.86 = 3,636.33 : x
  2. Step 2: Convert to fraction form
    5,716.86/8,577.86 = 3,636.33/x
  3. Step 3: Cross multiply
    5,716.86x = 8,577.86 × 3,636.33
  4. Step 4: Simplify right side
    5,716.86x = 31,191,929.65
  5. Step 5: Solve for x
    x = 31,191,929.65/5,716.86
  6. Step 6: Final answer
    x = 5,456.13

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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.