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Finding the Fourth Proportional to 3,413.40, 4,712.14 and 2,156.28

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Solution

The fourth proportional to 3,413.40, 4,712.14 and 2,156.28 is: 2,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.40 : 4,712.14 = 2,156.28 : x
  2. Step 2: Convert to fraction form
    3,413.40/4,712.14 = 2,156.28/x
  3. Step 3: Cross multiply
    3,413.40x = 4,712.14 × 2,156.28
  4. Step 4: Simplify right side
    3,413.40x = 10,160,693.24
  5. Step 5: Solve for x
    x = 10,160,693.24/3,413.40
  6. Step 6: Final answer
    x = 2,976.71

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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.