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Finding the Fourth Proportional to 3,413.28, 5,114.96 and 1,851.96

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Solution

The fourth proportional to 3,413.28, 5,114.96 and 1,851.96 is: 2,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.28 : 5,114.96 = 1,851.96 : x
  2. Step 2: Convert to fraction form
    3,413.28/5,114.96 = 1,851.96/x
  3. Step 3: Cross multiply
    3,413.28x = 5,114.96 × 1,851.96
  4. Step 4: Simplify right side
    3,413.28x = 9,472,701.32
  5. Step 5: Solve for x
    x = 9,472,701.32/3,413.28
  6. Step 6: Final answer
    x = 2,775.25

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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.