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Finding the Fourth Proportional to 3,977.49, 5,973.66 and 3,652.41

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Solution

The fourth proportional to 3,977.49, 5,973.66 and 3,652.41 is: 5,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.49 : 5,973.66 = 3,652.41 : x
  2. Step 2: Convert to fraction form
    3,977.49/5,973.66 = 3,652.41/x
  3. Step 3: Cross multiply
    3,977.49x = 5,973.66 × 3,652.41
  4. Step 4: Simplify right side
    3,977.49x = 21,818,255.52
  5. Step 5: Solve for x
    x = 21,818,255.52/3,977.49
  6. Step 6: Final answer
    x = 5,485.43

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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.