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Finding the Fourth Proportional to 4,729.41, 7,093.56 and 1,266.93

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Solution

The fourth proportional to 4,729.41, 7,093.56 and 1,266.93 is: 1,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.41 : 7,093.56 = 1,266.93 : x
  2. Step 2: Convert to fraction form
    4,729.41/7,093.56 = 1,266.93/x
  3. Step 3: Cross multiply
    4,729.41x = 7,093.56 × 1,266.93
  4. Step 4: Simplify right side
    4,729.41x = 8,987,043.97
  5. Step 5: Solve for x
    x = 8,987,043.97/4,729.41
  6. Step 6: Final answer
    x = 1,900.25

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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.