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Finding the Fourth Proportional to 4,204.60, 5,797.56 and 3,446

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Solution

The fourth proportional to 4,204.60, 5,797.56 and 3,446 is: 4,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.60 : 5,797.56 = 3,446 : x
  2. Step 2: Convert to fraction form
    4,204.60/5,797.56 = 3,446/x
  3. Step 3: Cross multiply
    4,204.60x = 5,797.56 × 3,446
  4. Step 4: Simplify right side
    4,204.60x = 19,978,391.76
  5. Step 5: Solve for x
    x = 19,978,391.76/4,204.60
  6. Step 6: Final answer
    x = 4,751.56

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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.