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Finding the Fourth Proportional to 3,586.71, 5,380.34 and 989.63

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Solution

The fourth proportional to 3,586.71, 5,380.34 and 989.63 is: 1,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.71 : 5,380.34 = 989.63 : x
  2. Step 2: Convert to fraction form
    3,586.71/5,380.34 = 989.63/x
  3. Step 3: Cross multiply
    3,586.71x = 5,380.34 × 989.63
  4. Step 4: Simplify right side
    3,586.71x = 5,324,514.02
  5. Step 5: Solve for x
    x = 5,324,514.02/3,586.71
  6. Step 6: Final answer
    x = 1,484.51

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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.