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Finding the Fourth Proportional to 3,970.46, 5,958.94 and 1,663.58

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Solution

The fourth proportional to 3,970.46, 5,958.94 and 1,663.58 is: 2,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.46 : 5,958.94 = 1,663.58 : x
  2. Step 2: Convert to fraction form
    3,970.46/5,958.94 = 1,663.58/x
  3. Step 3: Cross multiply
    3,970.46x = 5,958.94 × 1,663.58
  4. Step 4: Simplify right side
    3,970.46x = 9,913,173.41
  5. Step 5: Solve for x
    x = 9,913,173.41/3,970.46
  6. Step 6: Final answer
    x = 2,496.73

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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.