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Finding the Fourth Proportional to 3,407.40, 5,111.10 and 942.22

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Solution

The fourth proportional to 3,407.40, 5,111.10 and 942.22 is: 1,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.40 : 5,111.10 = 942.22 : x
  2. Step 2: Convert to fraction form
    3,407.40/5,111.10 = 942.22/x
  3. Step 3: Cross multiply
    3,407.40x = 5,111.10 × 942.22
  4. Step 4: Simplify right side
    3,407.40x = 4,815,758.28
  5. Step 5: Solve for x
    x = 4,815,758.28/3,407.40
  6. Step 6: Final answer
    x = 1,413.32

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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.