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Finding the Fourth Proportional to 3,720.75, 5,577.81 and 1,413.87

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Solution

The fourth proportional to 3,720.75, 5,577.81 and 1,413.87 is: 2,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.75 : 5,577.81 = 1,413.87 : x
  2. Step 2: Convert to fraction form
    3,720.75/5,577.81 = 1,413.87/x
  3. Step 3: Cross multiply
    3,720.75x = 5,577.81 × 1,413.87
  4. Step 4: Simplify right side
    3,720.75x = 7,886,298.22
  5. Step 5: Solve for x
    x = 7,886,298.22/3,720.75
  6. Step 6: Final answer
    x = 2,119.55

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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.