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Finding the Fourth Proportional to 5,700.53, 8,551.69 and 2,413.64

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Solution

The fourth proportional to 5,700.53, 8,551.69 and 2,413.64 is: 3,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.53 : 8,551.69 = 2,413.64 : x
  2. Step 2: Convert to fraction form
    5,700.53/8,551.69 = 2,413.64/x
  3. Step 3: Cross multiply
    5,700.53x = 8,551.69 × 2,413.64
  4. Step 4: Simplify right side
    5,700.53x = 20,640,701.05
  5. Step 5: Solve for x
    x = 20,640,701.05/5,700.53
  6. Step 6: Final answer
    x = 3,620.84

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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.