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Finding the Fourth Proportional to 3,762.10, 5,645.31 and 2,938.06

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Solution

The fourth proportional to 3,762.10, 5,645.31 and 2,938.06 is: 4,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.10 : 5,645.31 = 2,938.06 : x
  2. Step 2: Convert to fraction form
    3,762.10/5,645.31 = 2,938.06/x
  3. Step 3: Cross multiply
    3,762.10x = 5,645.31 × 2,938.06
  4. Step 4: Simplify right side
    3,762.10x = 16,586,259.50
  5. Step 5: Solve for x
    x = 16,586,259.50/3,762.10
  6. Step 6: Final answer
    x = 4,408.78

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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.