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Finding the Fourth Proportional to 4,185.60, 5,743.02 and 3,991.20

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Solution

The fourth proportional to 4,185.60, 5,743.02 and 3,991.20 is: 5,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.60 : 5,743.02 = 3,991.20 : x
  2. Step 2: Convert to fraction form
    4,185.60/5,743.02 = 3,991.20/x
  3. Step 3: Cross multiply
    4,185.60x = 5,743.02 × 3,991.20
  4. Step 4: Simplify right side
    4,185.60x = 22,921,541.42
  5. Step 5: Solve for x
    x = 22,921,541.42/4,185.60
  6. Step 6: Final answer
    x = 5,476.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.