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Finding the Fourth Proportional to 3,863.91, 5,795.87 and 942.20

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Solution

The fourth proportional to 3,863.91, 5,795.87 and 942.20 is: 1,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.91 : 5,795.87 = 942.20 : x
  2. Step 2: Convert to fraction form
    3,863.91/5,795.87 = 942.20/x
  3. Step 3: Cross multiply
    3,863.91x = 5,795.87 × 942.20
  4. Step 4: Simplify right side
    3,863.91x = 5,460,868.71
  5. Step 5: Solve for x
    x = 5,460,868.71/3,863.91
  6. Step 6: Final answer
    x = 1,413.30

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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.