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Finding the Fourth Proportional to 3,497.44, 5,245.35 and 998.58

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Solution

The fourth proportional to 3,497.44, 5,245.35 and 998.58 is: 1,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.44 : 5,245.35 = 998.58 : x
  2. Step 2: Convert to fraction form
    3,497.44/5,245.35 = 998.58/x
  3. Step 3: Cross multiply
    3,497.44x = 5,245.35 × 998.58
  4. Step 4: Simplify right side
    3,497.44x = 5,237,881.93
  5. Step 5: Solve for x
    x = 5,237,881.93/3,497.44
  6. Step 6: Final answer
    x = 1,497.63

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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.