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Finding the Fourth Proportional to 4,232.40, 6,372.76 and 3,973.20

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Solution

The fourth proportional to 4,232.40, 6,372.76 and 3,973.20 is: 5,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.40 : 6,372.76 = 3,973.20 : x
  2. Step 2: Convert to fraction form
    4,232.40/6,372.76 = 3,973.20/x
  3. Step 3: Cross multiply
    4,232.40x = 6,372.76 × 3,973.20
  4. Step 4: Simplify right side
    4,232.40x = 25,320,250.03
  5. Step 5: Solve for x
    x = 25,320,250.03/4,232.40
  6. Step 6: Final answer
    x = 5,982.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.