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Finding the Fourth Proportional to 4,858.34, 7,286.16 and 1,347.54

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Solution

The fourth proportional to 4,858.34, 7,286.16 and 1,347.54 is: 2,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.34 : 7,286.16 = 1,347.54 : x
  2. Step 2: Convert to fraction form
    4,858.34/7,286.16 = 1,347.54/x
  3. Step 3: Cross multiply
    4,858.34x = 7,286.16 × 1,347.54
  4. Step 4: Simplify right side
    4,858.34x = 9,818,392.05
  5. Step 5: Solve for x
    x = 9,818,392.05/4,858.34
  6. Step 6: Final answer
    x = 2,020.94

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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.