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Finding the Fourth Proportional to 3,496.64, 4,825.80 and 2,004.71

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Solution

The fourth proportional to 3,496.64, 4,825.80 and 2,004.71 is: 2,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.64 : 4,825.80 = 2,004.71 : x
  2. Step 2: Convert to fraction form
    3,496.64/4,825.80 = 2,004.71/x
  3. Step 3: Cross multiply
    3,496.64x = 4,825.80 × 2,004.71
  4. Step 4: Simplify right side
    3,496.64x = 9,674,305.39
  5. Step 5: Solve for x
    x = 9,674,305.39/3,496.64
  6. Step 6: Final answer
    x = 2,766.75

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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.