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Finding the Fourth Proportional to 3,576.02, 5,365.46 and 1,629.14

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Solution

The fourth proportional to 3,576.02, 5,365.46 and 1,629.14 is: 2,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.02 : 5,365.46 = 1,629.14 : x
  2. Step 2: Convert to fraction form
    3,576.02/5,365.46 = 1,629.14/x
  3. Step 3: Cross multiply
    3,576.02x = 5,365.46 × 1,629.14
  4. Step 4: Simplify right side
    3,576.02x = 8,741,085.50
  5. Step 5: Solve for x
    x = 8,741,085.50/3,576.02
  6. Step 6: Final answer
    x = 2,444.36

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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.