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Finding the Fourth Proportional to 3,493.88, 5,239.47 and 1,413.35

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Solution

The fourth proportional to 3,493.88, 5,239.47 and 1,413.35 is: 2,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.88 : 5,239.47 = 1,413.35 : x
  2. Step 2: Convert to fraction form
    3,493.88/5,239.47 = 1,413.35/x
  3. Step 3: Cross multiply
    3,493.88x = 5,239.47 × 1,413.35
  4. Step 4: Simplify right side
    3,493.88x = 7,405,204.92
  5. Step 5: Solve for x
    x = 7,405,204.92/3,493.88
  6. Step 6: Final answer
    x = 2,119.48

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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.