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Finding the Fourth Proportional to 4,729.36, 7,094.04 and 1,266.52

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Solution

The fourth proportional to 4,729.36, 7,094.04 and 1,266.52 is: 1,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.36 : 7,094.04 = 1,266.52 : x
  2. Step 2: Convert to fraction form
    4,729.36/7,094.04 = 1,266.52/x
  3. Step 3: Cross multiply
    4,729.36x = 7,094.04 × 1,266.52
  4. Step 4: Simplify right side
    4,729.36x = 8,984,743.54
  5. Step 5: Solve for x
    x = 8,984,743.54/4,729.36
  6. Step 6: Final answer
    x = 1,899.78

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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.