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Finding the Fourth Proportional to 5,830.27, 7,993.26 and 5,725.35

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Solution

The fourth proportional to 5,830.27, 7,993.26 and 5,725.35 is: 7,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.27 : 7,993.26 = 5,725.35 : x
  2. Step 2: Convert to fraction form
    5,830.27/7,993.26 = 5,725.35/x
  3. Step 3: Cross multiply
    5,830.27x = 7,993.26 × 5,725.35
  4. Step 4: Simplify right side
    5,830.27x = 45,764,211.14
  5. Step 5: Solve for x
    x = 45,764,211.14/5,830.27
  6. Step 6: Final answer
    x = 7,849.42

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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.