Home / 3,407.40-5,111.10-942.44

Finding the Fourth Proportional to 3,407.40, 5,111.10 and 942.44

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Solution

The fourth proportional to 3,407.40, 5,111.10 and 942.44 is: 1,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.40 : 5,111.10 = 942.44 : x
  2. Step 2: Convert to fraction form
    3,407.40/5,111.10 = 942.44/x
  3. Step 3: Cross multiply
    3,407.40x = 5,111.10 × 942.44
  4. Step 4: Simplify right side
    3,407.40x = 4,816,879.53
  5. Step 5: Solve for x
    x = 4,816,879.53/3,407.40
  6. Step 6: Final answer
    x = 1,413.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.