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Finding the Fourth Proportional to 3,407.96, 5,111.01 and 942.19

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Solution

The fourth proportional to 3,407.96, 5,111.01 and 942.19 is: 1,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.96 : 5,111.01 = 942.19 : x
  2. Step 2: Convert to fraction form
    3,407.96/5,111.01 = 942.19/x
  3. Step 3: Cross multiply
    3,407.96x = 5,111.01 × 942.19
  4. Step 4: Simplify right side
    3,407.96x = 4,815,542.51
  5. Step 5: Solve for x
    x = 4,815,542.51/3,407.96
  6. Step 6: Final answer
    x = 1,413.03

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1.5x scale

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.