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Finding the Fourth Proportional to 3,946.36, 5,922.54 and 1,483.48

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Solution

The fourth proportional to 3,946.36, 5,922.54 and 1,483.48 is: 2,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.36 : 5,922.54 = 1,483.48 : x
  2. Step 2: Convert to fraction form
    3,946.36/5,922.54 = 1,483.48/x
  3. Step 3: Cross multiply
    3,946.36x = 5,922.54 × 1,483.48
  4. Step 4: Simplify right side
    3,946.36x = 8,785,969.64
  5. Step 5: Solve for x
    x = 8,785,969.64/3,946.36
  6. Step 6: Final answer
    x = 2,226.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.