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Finding the Fourth Proportional to 3,496.55, 4,825.88 and 2,004.48

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Solution

The fourth proportional to 3,496.55, 4,825.88 and 2,004.48 is: 2,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.55 : 4,825.88 = 2,004.48 : x
  2. Step 2: Convert to fraction form
    3,496.55/4,825.88 = 2,004.48/x
  3. Step 3: Cross multiply
    3,496.55x = 4,825.88 × 2,004.48
  4. Step 4: Simplify right side
    3,496.55x = 9,673,355.81
  5. Step 5: Solve for x
    x = 9,673,355.81/3,496.55
  6. Step 6: Final answer
    x = 2,766.55

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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.