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Finding the Fourth Proportional to 4,729.98, 7,094.61 and 1,443.09

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Solution

The fourth proportional to 4,729.98, 7,094.61 and 1,443.09 is: 2,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.98 : 7,094.61 = 1,443.09 : x
  2. Step 2: Convert to fraction form
    4,729.98/7,094.61 = 1,443.09/x
  3. Step 3: Cross multiply
    4,729.98x = 7,094.61 × 1,443.09
  4. Step 4: Simplify right side
    4,729.98x = 10,238,160.74
  5. Step 5: Solve for x
    x = 10,238,160.74/4,729.98
  6. Step 6: Final answer
    x = 2,164.53

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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.