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Finding the Fourth Proportional to 4,729.44, 7,094.16 and 1,266.72

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Solution

The fourth proportional to 4,729.44, 7,094.16 and 1,266.72 is: 1,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.44 : 7,094.16 = 1,266.72 : x
  2. Step 2: Convert to fraction form
    4,729.44/7,094.16 = 1,266.72/x
  3. Step 3: Cross multiply
    4,729.44x = 7,094.16 × 1,266.72
  4. Step 4: Simplify right side
    4,729.44x = 8,986,314.36
  5. Step 5: Solve for x
    x = 8,986,314.36/4,729.44
  6. Step 6: Final answer
    x = 1,900.08

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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.