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Finding the Fourth Proportional to 3,720.75, 5,134.84 and 2,149.35

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Solution

The fourth proportional to 3,720.75, 5,134.84 and 2,149.35 is: 2,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.75 : 5,134.84 = 2,149.35 : x
  2. Step 2: Convert to fraction form
    3,720.75/5,134.84 = 2,149.35/x
  3. Step 3: Cross multiply
    3,720.75x = 5,134.84 × 2,149.35
  4. Step 4: Simplify right side
    3,720.75x = 11,036,562.98
  5. Step 5: Solve for x
    x = 11,036,562.98/3,720.75
  6. Step 6: Final answer
    x = 2,966.22

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