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Finding the Fourth Proportional to 3,464.66, 5,196.23 and 998.82

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Solution

The fourth proportional to 3,464.66, 5,196.23 and 998.82 is: 1,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.66 : 5,196.23 = 998.82 : x
  2. Step 2: Convert to fraction form
    3,464.66/5,196.23 = 998.82/x
  3. Step 3: Cross multiply
    3,464.66x = 5,196.23 × 998.82
  4. Step 4: Simplify right side
    3,464.66x = 5,190,093.45
  5. Step 5: Solve for x
    x = 5,190,093.45/3,464.66
  6. Step 6: Final answer
    x = 1,498.01

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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.