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Finding the Fourth Proportional to 4,971.33, 7,453.23 and 4,286.07

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Solution

The fourth proportional to 4,971.33, 7,453.23 and 4,286.07 is: 6,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.33 : 7,453.23 = 4,286.07 : x
  2. Step 2: Convert to fraction form
    4,971.33/7,453.23 = 4,286.07/x
  3. Step 3: Cross multiply
    4,971.33x = 7,453.23 × 4,286.07
  4. Step 4: Simplify right side
    4,971.33x = 31,945,065.51
  5. Step 5: Solve for x
    x = 31,945,065.51/4,971.33
  6. Step 6: Final answer
    x = 6,425.86

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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.