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Finding the Fourth Proportional to 4,674.16, 6,452.88 and 3,413.92

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Solution

The fourth proportional to 4,674.16, 6,452.88 and 3,413.92 is: 4,713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.16 : 6,452.88 = 3,413.92 : x
  2. Step 2: Convert to fraction form
    4,674.16/6,452.88 = 3,413.92/x
  3. Step 3: Cross multiply
    4,674.16x = 6,452.88 × 3,413.92
  4. Step 4: Simplify right side
    4,674.16x = 22,029,616.09
  5. Step 5: Solve for x
    x = 22,029,616.09/4,674.16
  6. Step 6: Final answer
    x = 4,713.06

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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.