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Finding the Fourth Proportional to 5,685.23, 7,843.44 and 3,559.88

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Solution

The fourth proportional to 5,685.23, 7,843.44 and 3,559.88 is: 4,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.23 : 7,843.44 = 3,559.88 : x
  2. Step 2: Convert to fraction form
    5,685.23/7,843.44 = 3,559.88/x
  3. Step 3: Cross multiply
    5,685.23x = 7,843.44 × 3,559.88
  4. Step 4: Simplify right side
    5,685.23x = 27,921,705.19
  5. Step 5: Solve for x
    x = 27,921,705.19/5,685.23
  6. Step 6: Final answer
    x = 4,911.27

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