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Finding the Fourth Proportional to 4,309.36, 5,946.60 and 2,446

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Solution

The fourth proportional to 4,309.36, 5,946.60 and 2,446 is: 3,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.36 : 5,946.60 = 2,446 : x
  2. Step 2: Convert to fraction form
    4,309.36/5,946.60 = 2,446/x
  3. Step 3: Cross multiply
    4,309.36x = 5,946.60 × 2,446
  4. Step 4: Simplify right side
    4,309.36x = 14,545,383.60
  5. Step 5: Solve for x
    x = 14,545,383.60/4,309.36
  6. Step 6: Final answer
    x = 3,375.30

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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.