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Finding the Fourth Proportional to 3,586.86, 5,379.68 and 989.18

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Solution

The fourth proportional to 3,586.86, 5,379.68 and 989.18 is: 1,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.86 : 5,379.68 = 989.18 : x
  2. Step 2: Convert to fraction form
    3,586.86/5,379.68 = 989.18/x
  3. Step 3: Cross multiply
    3,586.86x = 5,379.68 × 989.18
  4. Step 4: Simplify right side
    3,586.86x = 5,321,471.86
  5. Step 5: Solve for x
    x = 5,321,471.86/3,586.86
  6. Step 6: Final answer
    x = 1,483.60

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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.