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Finding the Fourth Proportional to 3,497, 4,825.44 and 2,004.84

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Solution

The fourth proportional to 3,497, 4,825.44 and 2,004.84 is: 2,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497 : 4,825.44 = 2,004.84 : x
  2. Step 2: Convert to fraction form
    3,497/4,825.44 = 2,004.84/x
  3. Step 3: Cross multiply
    3,497x = 4,825.44 × 2,004.84
  4. Step 4: Simplify right side
    3,497x = 9,674,235.13
  5. Step 5: Solve for x
    x = 9,674,235.13/3,497
  6. Step 6: Final answer
    x = 2,766.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.