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Finding the Fourth Proportional to 5,200.47, 7,166.21 and 4,413.15

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Solution

The fourth proportional to 5,200.47, 7,166.21 and 4,413.15 is: 6,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.47 : 7,166.21 = 4,413.15 : x
  2. Step 2: Convert to fraction form
    5,200.47/7,166.21 = 4,413.15/x
  3. Step 3: Cross multiply
    5,200.47x = 7,166.21 × 4,413.15
  4. Step 4: Simplify right side
    5,200.47x = 31,625,537.60
  5. Step 5: Solve for x
    x = 31,625,537.60/5,200.47
  6. Step 6: Final answer
    x = 6,081.28

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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.