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Finding the Fourth Proportional to 3,496.84, 4,825.71 and 2,004.82

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Solution

The fourth proportional to 3,496.84, 4,825.71 and 2,004.82 is: 2,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.84 : 4,825.71 = 2,004.82 : x
  2. Step 2: Convert to fraction form
    3,496.84/4,825.71 = 2,004.82/x
  3. Step 3: Cross multiply
    3,496.84x = 4,825.71 × 2,004.82
  4. Step 4: Simplify right side
    3,496.84x = 9,674,667.86
  5. Step 5: Solve for x
    x = 9,674,667.86/3,496.84
  6. Step 6: Final answer
    x = 2,766.69

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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.