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Finding the Fourth Proportional to 3,762.56, 5,647.49 and 1,816.13

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Solution

The fourth proportional to 3,762.56, 5,647.49 and 1,816.13 is: 2,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.56 : 5,647.49 = 1,816.13 : x
  2. Step 2: Convert to fraction form
    3,762.56/5,647.49 = 1,816.13/x
  3. Step 3: Cross multiply
    3,762.56x = 5,647.49 × 1,816.13
  4. Step 4: Simplify right side
    3,762.56x = 10,256,576.01
  5. Step 5: Solve for x
    x = 10,256,576.01/3,762.56
  6. Step 6: Final answer
    x = 2,725.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.