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Finding the Fourth Proportional to 5,714.49, 8,571.64 and 4,164.33

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Solution

The fourth proportional to 5,714.49, 8,571.64 and 4,164.33 is: 6,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.49 : 8,571.64 = 4,164.33 : x
  2. Step 2: Convert to fraction form
    5,714.49/8,571.64 = 4,164.33/x
  3. Step 3: Cross multiply
    5,714.49x = 8,571.64 × 4,164.33
  4. Step 4: Simplify right side
    5,714.49x = 35,695,095.05
  5. Step 5: Solve for x
    x = 35,695,095.05/5,714.49
  6. Step 6: Final answer
    x = 6,246.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.