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Finding the Fourth Proportional to 4,972.12, 7,450.92 and 4,425.40

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Solution

The fourth proportional to 4,972.12, 7,450.92 and 4,425.40 is: 6,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.12 : 7,450.92 = 4,425.40 : x
  2. Step 2: Convert to fraction form
    4,972.12/7,450.92 = 4,425.40/x
  3. Step 3: Cross multiply
    4,972.12x = 7,450.92 × 4,425.40
  4. Step 4: Simplify right side
    4,972.12x = 32,973,301.37
  5. Step 5: Solve for x
    x = 32,973,301.37/4,972.12
  6. Step 6: Final answer
    x = 6,631.64

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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.