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Finding the Fourth Proportional to 4,541, 6,816.36 and 2,237.36

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Solution

The fourth proportional to 4,541, 6,816.36 and 2,237.36 is: 3,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541 : 6,816.36 = 2,237.36 : x
  2. Step 2: Convert to fraction form
    4,541/6,816.36 = 2,237.36/x
  3. Step 3: Cross multiply
    4,541x = 6,816.36 × 2,237.36
  4. Step 4: Simplify right side
    4,541x = 15,250,651.21
  5. Step 5: Solve for x
    x = 15,250,651.21/4,541
  6. Step 6: Final answer
    x = 3,358.43

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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.