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Finding the Fourth Proportional to 3,757.34, 5,185.52 and 2,164.04

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Solution

The fourth proportional to 3,757.34, 5,185.52 and 2,164.04 is: 2,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.34 : 5,185.52 = 2,164.04 : x
  2. Step 2: Convert to fraction form
    3,757.34/5,185.52 = 2,164.04/x
  3. Step 3: Cross multiply
    3,757.34x = 5,185.52 × 2,164.04
  4. Step 4: Simplify right side
    3,757.34x = 11,221,655.40
  5. Step 5: Solve for x
    x = 11,221,655.40/3,757.34
  6. Step 6: Final answer
    x = 2,986.60

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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.