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Finding the Fourth Proportional to 4,181.57, 5,770.57 and 2,413.45

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Solution

The fourth proportional to 4,181.57, 5,770.57 and 2,413.45 is: 3,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.57 : 5,770.57 = 2,413.45 : x
  2. Step 2: Convert to fraction form
    4,181.57/5,770.57 = 2,413.45/x
  3. Step 3: Cross multiply
    4,181.57x = 5,770.57 × 2,413.45
  4. Step 4: Simplify right side
    4,181.57x = 13,926,953.31
  5. Step 5: Solve for x
    x = 13,926,953.31/4,181.57
  6. Step 6: Final answer
    x = 3,330.56

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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.