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Finding the Fourth Proportional to 4,952.03, 7,413.67 and 3,853.06

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Solution

The fourth proportional to 4,952.03, 7,413.67 and 3,853.06 is: 5,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.03 : 7,413.67 = 3,853.06 : x
  2. Step 2: Convert to fraction form
    4,952.03/7,413.67 = 3,853.06/x
  3. Step 3: Cross multiply
    4,952.03x = 7,413.67 × 3,853.06
  4. Step 4: Simplify right side
    4,952.03x = 28,565,287.16
  5. Step 5: Solve for x
    x = 28,565,287.16/4,952.03
  6. Step 6: Final answer
    x = 5,768.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.