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Finding the Fourth Proportional to 3,586.26, 5,379.38 and 989.18

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Solution

The fourth proportional to 3,586.26, 5,379.38 and 989.18 is: 1,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.26 : 5,379.38 = 989.18 : x
  2. Step 2: Convert to fraction form
    3,586.26/5,379.38 = 989.18/x
  3. Step 3: Cross multiply
    3,586.26x = 5,379.38 × 989.18
  4. Step 4: Simplify right side
    3,586.26x = 5,321,175.11
  5. Step 5: Solve for x
    x = 5,321,175.11/3,586.26
  6. Step 6: Final answer
    x = 1,483.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.