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Finding the Fourth Proportional to 3,977.70, 5,965.47 and 3,323.76

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Solution

The fourth proportional to 3,977.70, 5,965.47 and 3,323.76 is: 4,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.70 : 5,965.47 = 3,323.76 : x
  2. Step 2: Convert to fraction form
    3,977.70/5,965.47 = 3,323.76/x
  3. Step 3: Cross multiply
    3,977.70x = 5,965.47 × 3,323.76
  4. Step 4: Simplify right side
    3,977.70x = 19,827,790.57
  5. Step 5: Solve for x
    x = 19,827,790.57/3,977.70
  6. Step 6: Final answer
    x = 4,984.74

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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.