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Finding the Fourth Proportional to 3,413.13, 4,709.20 and 2,068.73

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Solution

The fourth proportional to 3,413.13, 4,709.20 and 2,068.73 is: 2,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.13 : 4,709.20 = 2,068.73 : x
  2. Step 2: Convert to fraction form
    3,413.13/4,709.20 = 2,068.73/x
  3. Step 3: Cross multiply
    3,413.13x = 4,709.20 × 2,068.73
  4. Step 4: Simplify right side
    3,413.13x = 9,742,063.32
  5. Step 5: Solve for x
    x = 9,742,063.32/3,413.13
  6. Step 6: Final answer
    x = 2,854.29

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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.