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Finding the Fourth Proportional to 5,533.70, 8,302.03 and 2,413.96

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Solution

The fourth proportional to 5,533.70, 8,302.03 and 2,413.96 is: 3,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.70 : 8,302.03 = 2,413.96 : x
  2. Step 2: Convert to fraction form
    5,533.70/8,302.03 = 2,413.96/x
  3. Step 3: Cross multiply
    5,533.70x = 8,302.03 × 2,413.96
  4. Step 4: Simplify right side
    5,533.70x = 20,040,768.34
  5. Step 5: Solve for x
    x = 20,040,768.34/5,533.70
  6. Step 6: Final answer
    x = 3,621.59

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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.