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Finding the Fourth Proportional to 3,701.80, 5,556.70 and 1,969.96

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Solution

The fourth proportional to 3,701.80, 5,556.70 and 1,969.96 is: 2,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.80 : 5,556.70 = 1,969.96 : x
  2. Step 2: Convert to fraction form
    3,701.80/5,556.70 = 1,969.96/x
  3. Step 3: Cross multiply
    3,701.80x = 5,556.70 × 1,969.96
  4. Step 4: Simplify right side
    3,701.80x = 10,946,476.73
  5. Step 5: Solve for x
    x = 10,946,476.73/3,701.80
  6. Step 6: Final answer
    x = 2,957.07

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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.