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Finding the Fourth Proportional to 3,458.44, 5,186.87 and 993.24

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Solution

The fourth proportional to 3,458.44, 5,186.87 and 993.24 is: 1,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.44 : 5,186.87 = 993.24 : x
  2. Step 2: Convert to fraction form
    3,458.44/5,186.87 = 993.24/x
  3. Step 3: Cross multiply
    3,458.44x = 5,186.87 × 993.24
  4. Step 4: Simplify right side
    3,458.44x = 5,151,806.76
  5. Step 5: Solve for x
    x = 5,151,806.76/3,458.44
  6. Step 6: Final answer
    x = 1,489.63

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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.