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Finding the Fourth Proportional to 3,586.12, 5,379.02 and 989.16

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Solution

The fourth proportional to 3,586.12, 5,379.02 and 989.16 is: 1,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.12 : 5,379.02 = 989.16 : x
  2. Step 2: Convert to fraction form
    3,586.12/5,379.02 = 989.16/x
  3. Step 3: Cross multiply
    3,586.12x = 5,379.02 × 989.16
  4. Step 4: Simplify right side
    3,586.12x = 5,320,711.42
  5. Step 5: Solve for x
    x = 5,320,711.42/3,586.12
  6. Step 6: Final answer
    x = 1,483.70

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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.