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Finding the Fourth Proportional to 3,413.55, 5,120.32 and 1,073.76

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Solution

The fourth proportional to 3,413.55, 5,120.32 and 1,073.76 is: 1,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.55 : 5,120.32 = 1,073.76 : x
  2. Step 2: Convert to fraction form
    3,413.55/5,120.32 = 1,073.76/x
  3. Step 3: Cross multiply
    3,413.55x = 5,120.32 × 1,073.76
  4. Step 4: Simplify right side
    3,413.55x = 5,497,986.31
  5. Step 5: Solve for x
    x = 5,497,986.31/3,413.55
  6. Step 6: Final answer
    x = 1,610.64

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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.