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Finding the Fourth Proportional to 3,539.64, 5,309.46 and 942.42

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Solution

The fourth proportional to 3,539.64, 5,309.46 and 942.42 is: 1,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.64 : 5,309.46 = 942.42 : x
  2. Step 2: Convert to fraction form
    3,539.64/5,309.46 = 942.42/x
  3. Step 3: Cross multiply
    3,539.64x = 5,309.46 × 942.42
  4. Step 4: Simplify right side
    3,539.64x = 5,003,741.29
  5. Step 5: Solve for x
    x = 5,003,741.29/3,539.64
  6. Step 6: Final answer
    x = 1,413.63

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Similar ratio
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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.