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Finding the Fourth Proportional to 5,349.42, 7,382.61 and 2,991.42

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Solution

The fourth proportional to 5,349.42, 7,382.61 and 2,991.42 is: 4,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.42 : 7,382.61 = 2,991.42 : x
  2. Step 2: Convert to fraction form
    5,349.42/7,382.61 = 2,991.42/x
  3. Step 3: Cross multiply
    5,349.42x = 7,382.61 × 2,991.42
  4. Step 4: Simplify right side
    5,349.42x = 22,084,487.21
  5. Step 5: Solve for x
    x = 22,084,487.21/5,349.42
  6. Step 6: Final answer
    x = 4,128.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.