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Finding the Fourth Proportional to 5,302.34, 7,314.83 and 3,413.25

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Solution

The fourth proportional to 5,302.34, 7,314.83 and 3,413.25 is: 4,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.34 : 7,314.83 = 3,413.25 : x
  2. Step 2: Convert to fraction form
    5,302.34/7,314.83 = 3,413.25/x
  3. Step 3: Cross multiply
    5,302.34x = 7,314.83 × 3,413.25
  4. Step 4: Simplify right side
    5,302.34x = 24,967,306.92
  5. Step 5: Solve for x
    x = 24,967,306.92/5,302.34
  6. Step 6: Final answer
    x = 4,708.73

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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.