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Finding the Fourth Proportional to 3,493.42, 5,240.06 and 1,413.34

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Solution

The fourth proportional to 3,493.42, 5,240.06 and 1,413.34 is: 2,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.42 : 5,240.06 = 1,413.34 : x
  2. Step 2: Convert to fraction form
    3,493.42/5,240.06 = 1,413.34/x
  3. Step 3: Cross multiply
    3,493.42x = 5,240.06 × 1,413.34
  4. Step 4: Simplify right side
    3,493.42x = 7,405,971.53
  5. Step 5: Solve for x
    x = 7,405,971.53/3,493.42
  6. Step 6: Final answer
    x = 2,119.98

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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.