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Finding the Fourth Proportional to 3,586.10, 5,379.11 and 989.02

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Solution

The fourth proportional to 3,586.10, 5,379.11 and 989.02 is: 1,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.10 : 5,379.11 = 989.02 : x
  2. Step 2: Convert to fraction form
    3,586.10/5,379.11 = 989.02/x
  3. Step 3: Cross multiply
    3,586.10x = 5,379.11 × 989.02
  4. Step 4: Simplify right side
    3,586.10x = 5,320,015.53
  5. Step 5: Solve for x
    x = 5,320,015.53/3,586.10
  6. Step 6: Final answer
    x = 1,483.51

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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.