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Finding the Fourth Proportional to 5,235.39, 7,853.93 and 1,724.37

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Solution

The fourth proportional to 5,235.39, 7,853.93 and 1,724.37 is: 2,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.39 : 7,853.93 = 1,724.37 : x
  2. Step 2: Convert to fraction form
    5,235.39/7,853.93 = 1,724.37/x
  3. Step 3: Cross multiply
    5,235.39x = 7,853.93 × 1,724.37
  4. Step 4: Simplify right side
    5,235.39x = 13,543,072.65
  5. Step 5: Solve for x
    x = 13,543,072.65/5,235.39
  6. Step 6: Final answer
    x = 2,586.83

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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.