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Finding the Fourth Proportional to 3,864.16, 5,796.24 and 942.46

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Solution

The fourth proportional to 3,864.16, 5,796.24 and 942.46 is: 1,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.16 : 5,796.24 = 942.46 : x
  2. Step 2: Convert to fraction form
    3,864.16/5,796.24 = 942.46/x
  3. Step 3: Cross multiply
    3,864.16x = 5,796.24 × 942.46
  4. Step 4: Simplify right side
    3,864.16x = 5,462,724.35
  5. Step 5: Solve for x
    x = 5,462,724.35/3,864.16
  6. Step 6: Final answer
    x = 1,413.69

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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.