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Finding the Fourth Proportional to 3,973.20, 6,002.40 and 3,973.20

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Solution

The fourth proportional to 3,973.20, 6,002.40 and 3,973.20 is: 6,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.20 : 6,002.40 = 3,973.20 : x
  2. Step 2: Convert to fraction form
    3,973.20/6,002.40 = 3,973.20/x
  3. Step 3: Cross multiply
    3,973.20x = 6,002.40 × 3,973.20
  4. Step 4: Simplify right side
    3,973.20x = 23,848,735.68
  5. Step 5: Solve for x
    x = 23,848,735.68/3,973.20
  6. Step 6: Final answer
    x = 6,002.40

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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.