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Finding the Fourth Proportional to 3,805.45, 5,707.08 and 1,465.27

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Solution

The fourth proportional to 3,805.45, 5,707.08 and 1,465.27 is: 2,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.45 : 5,707.08 = 1,465.27 : x
  2. Step 2: Convert to fraction form
    3,805.45/5,707.08 = 1,465.27/x
  3. Step 3: Cross multiply
    3,805.45x = 5,707.08 × 1,465.27
  4. Step 4: Simplify right side
    3,805.45x = 8,362,413.11
  5. Step 5: Solve for x
    x = 8,362,413.11/3,805.45
  6. Step 6: Final answer
    x = 2,197.48

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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.