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Finding the Fourth Proportional to 4,820.38, 7,226.18 and 1,898

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Solution

The fourth proportional to 4,820.38, 7,226.18 and 1,898 is: 2,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.38 : 7,226.18 = 1,898 : x
  2. Step 2: Convert to fraction form
    4,820.38/7,226.18 = 1,898/x
  3. Step 3: Cross multiply
    4,820.38x = 7,226.18 × 1,898
  4. Step 4: Simplify right side
    4,820.38x = 13,715,289.64
  5. Step 5: Solve for x
    x = 13,715,289.64/4,820.38
  6. Step 6: Final answer
    x = 2,845.27

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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.