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Finding the Fourth Proportional to 3,413.62, 4,713.72 and 2,156.86

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Solution

The fourth proportional to 3,413.62, 4,713.72 and 2,156.86 is: 2,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.62 : 4,713.72 = 2,156.86 : x
  2. Step 2: Convert to fraction form
    3,413.62/4,713.72 = 2,156.86/x
  3. Step 3: Cross multiply
    3,413.62x = 4,713.72 × 2,156.86
  4. Step 4: Simplify right side
    3,413.62x = 10,166,834.12
  5. Step 5: Solve for x
    x = 10,166,834.12/3,413.62
  6. Step 6: Final answer
    x = 2,978.31

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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.