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Finding the Fourth Proportional to 3,413.16, 4,710.90 and 2,016.12

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Solution

The fourth proportional to 3,413.16, 4,710.90 and 2,016.12 is: 2,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.16 : 4,710.90 = 2,016.12 : x
  2. Step 2: Convert to fraction form
    3,413.16/4,710.90 = 2,016.12/x
  3. Step 3: Cross multiply
    3,413.16x = 4,710.90 × 2,016.12
  4. Step 4: Simplify right side
    3,413.16x = 9,497,739.71
  5. Step 5: Solve for x
    x = 9,497,739.71/3,413.16
  6. Step 6: Final answer
    x = 2,782.68

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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.