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Finding the Fourth Proportional to 4,693.44, 7,037.52 and 2,226

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Solution

The fourth proportional to 4,693.44, 7,037.52 and 2,226 is: 3,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.44 : 7,037.52 = 2,226 : x
  2. Step 2: Convert to fraction form
    4,693.44/7,037.52 = 2,226/x
  3. Step 3: Cross multiply
    4,693.44x = 7,037.52 × 2,226
  4. Step 4: Simplify right side
    4,693.44x = 15,665,519.52
  5. Step 5: Solve for x
    x = 15,665,519.52/4,693.44
  6. Step 6: Final answer
    x = 3,337.75

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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.