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Finding the Fourth Proportional to 3,407.48, 5,111.32 and 942.32

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Solution

The fourth proportional to 3,407.48, 5,111.32 and 942.32 is: 1,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.48 : 5,111.32 = 942.32 : x
  2. Step 2: Convert to fraction form
    3,407.48/5,111.32 = 942.32/x
  3. Step 3: Cross multiply
    3,407.48x = 5,111.32 × 942.32
  4. Step 4: Simplify right side
    3,407.48x = 4,816,499.06
  5. Step 5: Solve for x
    x = 4,816,499.06/3,407.48
  6. Step 6: Final answer
    x = 1,413.51

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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.