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Finding the Fourth Proportional to 5,413.79, 7,467.48 and 3,822.77

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Solution

The fourth proportional to 5,413.79, 7,467.48 and 3,822.77 is: 5,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.79 : 7,467.48 = 3,822.77 : x
  2. Step 2: Convert to fraction form
    5,413.79/7,467.48 = 3,822.77/x
  3. Step 3: Cross multiply
    5,413.79x = 7,467.48 × 3,822.77
  4. Step 4: Simplify right side
    5,413.79x = 28,546,421.18
  5. Step 5: Solve for x
    x = 28,546,421.18/5,413.79
  6. Step 6: Final answer
    x = 5,272.91

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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.