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Finding the Fourth Proportional to 5,754.92, 7,942.55 and 3,365.60

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Solution

The fourth proportional to 5,754.92, 7,942.55 and 3,365.60 is: 4,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.92 : 7,942.55 = 3,365.60 : x
  2. Step 2: Convert to fraction form
    5,754.92/7,942.55 = 3,365.60/x
  3. Step 3: Cross multiply
    5,754.92x = 7,942.55 × 3,365.60
  4. Step 4: Simplify right side
    5,754.92x = 26,731,389.74
  5. Step 5: Solve for x
    x = 26,731,389.74/5,754.92
  6. Step 6: Final answer
    x = 4,644.97

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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.