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Finding the Fourth Proportional to 3,683.40, 5,525.12 and 1,086.40

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Solution

The fourth proportional to 3,683.40, 5,525.12 and 1,086.40 is: 1,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.40 : 5,525.12 = 1,086.40 : x
  2. Step 2: Convert to fraction form
    3,683.40/5,525.12 = 1,086.40/x
  3. Step 3: Cross multiply
    3,683.40x = 5,525.12 × 1,086.40
  4. Step 4: Simplify right side
    3,683.40x = 6,002,490.37
  5. Step 5: Solve for x
    x = 6,002,490.37/3,683.40
  6. Step 6: Final answer
    x = 1,629.61

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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.