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Finding the Fourth Proportional to 3,728.85, 5,145.25 and 2,135.25

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Solution

The fourth proportional to 3,728.85, 5,145.25 and 2,135.25 is: 2,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.85 : 5,145.25 = 2,135.25 : x
  2. Step 2: Convert to fraction form
    3,728.85/5,145.25 = 2,135.25/x
  3. Step 3: Cross multiply
    3,728.85x = 5,145.25 × 2,135.25
  4. Step 4: Simplify right side
    3,728.85x = 10,986,395.06
  5. Step 5: Solve for x
    x = 10,986,395.06/3,728.85
  6. Step 6: Final answer
    x = 2,946.32

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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.