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Finding the Fourth Proportional to 4,181.76, 5,770.62 and 2,413.26

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Solution

The fourth proportional to 4,181.76, 5,770.62 and 2,413.26 is: 3,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.76 : 5,770.62 = 2,413.26 : x
  2. Step 2: Convert to fraction form
    4,181.76/5,770.62 = 2,413.26/x
  3. Step 3: Cross multiply
    4,181.76x = 5,770.62 × 2,413.26
  4. Step 4: Simplify right side
    4,181.76x = 13,926,006.42
  5. Step 5: Solve for x
    x = 13,926,006.42/4,181.76
  6. Step 6: Final answer
    x = 3,330.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.