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Finding the Fourth Proportional to 4,729.64, 7,083.60 and 2,266.20

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Solution

The fourth proportional to 4,729.64, 7,083.60 and 2,266.20 is: 3,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.64 : 7,083.60 = 2,266.20 : x
  2. Step 2: Convert to fraction form
    4,729.64/7,083.60 = 2,266.20/x
  3. Step 3: Cross multiply
    4,729.64x = 7,083.60 × 2,266.20
  4. Step 4: Simplify right side
    4,729.64x = 16,052,854.32
  5. Step 5: Solve for x
    x = 16,052,854.32/4,729.64
  6. Step 6: Final answer
    x = 3,394.10

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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.