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Finding the Fourth Proportional to 3,609.12, 4,982.24 and 2,428

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Solution

The fourth proportional to 3,609.12, 4,982.24 and 2,428 is: 3,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.12 : 4,982.24 = 2,428 : x
  2. Step 2: Convert to fraction form
    3,609.12/4,982.24 = 2,428/x
  3. Step 3: Cross multiply
    3,609.12x = 4,982.24 × 2,428
  4. Step 4: Simplify right side
    3,609.12x = 12,096,878.72
  5. Step 5: Solve for x
    x = 12,096,878.72/3,609.12
  6. Step 6: Final answer
    x = 3,351.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.