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Finding the Fourth Proportional to 5,698.09, 8,551.69 and 2,413.47

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Solution

The fourth proportional to 5,698.09, 8,551.69 and 2,413.47 is: 3,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.09 : 8,551.69 = 2,413.47 : x
  2. Step 2: Convert to fraction form
    5,698.09/8,551.69 = 2,413.47/x
  3. Step 3: Cross multiply
    5,698.09x = 8,551.69 × 2,413.47
  4. Step 4: Simplify right side
    5,698.09x = 20,639,247.26
  5. Step 5: Solve for x
    x = 20,639,247.26/5,698.09
  6. Step 6: Final answer
    x = 3,622.13

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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.