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Finding the Fourth Proportional to 3,923.03, 5,413.91 and 2,154.74

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Solution

The fourth proportional to 3,923.03, 5,413.91 and 2,154.74 is: 2,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.03 : 5,413.91 = 2,154.74 : x
  2. Step 2: Convert to fraction form
    3,923.03/5,413.91 = 2,154.74/x
  3. Step 3: Cross multiply
    3,923.03x = 5,413.91 × 2,154.74
  4. Step 4: Simplify right side
    3,923.03x = 11,665,530.59
  5. Step 5: Solve for x
    x = 11,665,530.59/3,923.03
  6. Step 6: Final answer
    x = 2,973.60

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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.