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Finding the Fourth Proportional to 3,605.16, 5,404.86 and 1,413.48

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Solution

The fourth proportional to 3,605.16, 5,404.86 and 1,413.48 is: 2,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.16 : 5,404.86 = 1,413.48 : x
  2. Step 2: Convert to fraction form
    3,605.16/5,404.86 = 1,413.48/x
  3. Step 3: Cross multiply
    3,605.16x = 5,404.86 × 1,413.48
  4. Step 4: Simplify right side
    3,605.16x = 7,639,661.51
  5. Step 5: Solve for x
    x = 7,639,661.51/3,605.16
  6. Step 6: Final answer
    x = 2,119.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.