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Finding the Fourth Proportional to 3,735.72, 5,154.21 and 2,410.20

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Solution

The fourth proportional to 3,735.72, 5,154.21 and 2,410.20 is: 3,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.72 : 5,154.21 = 2,410.20 : x
  2. Step 2: Convert to fraction form
    3,735.72/5,154.21 = 2,410.20/x
  3. Step 3: Cross multiply
    3,735.72x = 5,154.21 × 2,410.20
  4. Step 4: Simplify right side
    3,735.72x = 12,422,676.94
  5. Step 5: Solve for x
    x = 12,422,676.94/3,735.72
  6. Step 6: Final answer
    x = 3,325.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.