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Finding the Fourth Proportional to 5,413.92, 7,464.72 and 4,617.12

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Solution

The fourth proportional to 5,413.92, 7,464.72 and 4,617.12 is: 6,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.92 : 7,464.72 = 4,617.12 : x
  2. Step 2: Convert to fraction form
    5,413.92/7,464.72 = 4,617.12/x
  3. Step 3: Cross multiply
    5,413.92x = 7,464.72 × 4,617.12
  4. Step 4: Simplify right side
    5,413.92x = 34,465,508.01
  5. Step 5: Solve for x
    x = 34,465,508.01/5,413.92
  6. Step 6: Final answer
    x = 6,366.09

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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.