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Finding the Fourth Proportional to 5,754.62, 7,942.16 and 3,365.30

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Solution

The fourth proportional to 5,754.62, 7,942.16 and 3,365.30 is: 4,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.62 : 7,942.16 = 3,365.30 : x
  2. Step 2: Convert to fraction form
    5,754.62/7,942.16 = 3,365.30/x
  3. Step 3: Cross multiply
    5,754.62x = 7,942.16 × 3,365.30
  4. Step 4: Simplify right side
    5,754.62x = 26,727,734.22
  5. Step 5: Solve for x
    x = 26,727,734.22/5,754.62
  6. Step 6: Final answer
    x = 4,644.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.