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Finding the Fourth Proportional to 3,413.63, 4,709.45 and 2,154.29

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Solution

The fourth proportional to 3,413.63, 4,709.45 and 2,154.29 is: 2,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.63 : 4,709.45 = 2,154.29 : x
  2. Step 2: Convert to fraction form
    3,413.63/4,709.45 = 2,154.29/x
  3. Step 3: Cross multiply
    3,413.63x = 4,709.45 × 2,154.29
  4. Step 4: Simplify right side
    3,413.63x = 10,145,486.72
  5. Step 5: Solve for x
    x = 10,145,486.72/3,413.63
  6. Step 6: Final answer
    x = 2,972.06

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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.