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Finding the Fourth Proportional to 5,702.59, 8,552.40 and 2,413.99

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Solution

The fourth proportional to 5,702.59, 8,552.40 and 2,413.99 is: 3,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.59 : 8,552.40 = 2,413.99 : x
  2. Step 2: Convert to fraction form
    5,702.59/8,552.40 = 2,413.99/x
  3. Step 3: Cross multiply
    5,702.59x = 8,552.40 × 2,413.99
  4. Step 4: Simplify right side
    5,702.59x = 20,645,408.08
  5. Step 5: Solve for x
    x = 20,645,408.08/5,702.59
  6. Step 6: Final answer
    x = 3,620.36

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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.