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Finding the Fourth Proportional to 3,992.67, 5,989.05 and 1,219.32

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Solution

The fourth proportional to 3,992.67, 5,989.05 and 1,219.32 is: 1,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.67 : 5,989.05 = 1,219.32 : x
  2. Step 2: Convert to fraction form
    3,992.67/5,989.05 = 1,219.32/x
  3. Step 3: Cross multiply
    3,992.67x = 5,989.05 × 1,219.32
  4. Step 4: Simplify right side
    3,992.67x = 7,302,568.45
  5. Step 5: Solve for x
    x = 7,302,568.45/3,992.67
  6. Step 6: Final answer
    x = 1,828.99

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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.