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Finding the Fourth Proportional to 3,628.84, 5,438.46 and 1,318.12

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Solution

The fourth proportional to 3,628.84, 5,438.46 and 1,318.12 is: 1,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.84 : 5,438.46 = 1,318.12 : x
  2. Step 2: Convert to fraction form
    3,628.84/5,438.46 = 1,318.12/x
  3. Step 3: Cross multiply
    3,628.84x = 5,438.46 × 1,318.12
  4. Step 4: Simplify right side
    3,628.84x = 7,168,542.90
  5. Step 5: Solve for x
    x = 7,168,542.90/3,628.84
  6. Step 6: Final answer
    x = 1,975.44

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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.