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Finding the Fourth Proportional to 3,825.64, 5,274.34 and 2,762.52

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Solution

The fourth proportional to 3,825.64, 5,274.34 and 2,762.52 is: 3,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.64 : 5,274.34 = 2,762.52 : x
  2. Step 2: Convert to fraction form
    3,825.64/5,274.34 = 2,762.52/x
  3. Step 3: Cross multiply
    3,825.64x = 5,274.34 × 2,762.52
  4. Step 4: Simplify right side
    3,825.64x = 14,570,469.74
  5. Step 5: Solve for x
    x = 14,570,469.74/3,825.64
  6. Step 6: Final answer
    x = 3,808.64

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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.