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Finding the Fourth Proportional to 5,428.42, 8,141 and 2,308.41

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Solution

The fourth proportional to 5,428.42, 8,141 and 2,308.41 is: 3,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.42 : 8,141 = 2,308.41 : x
  2. Step 2: Convert to fraction form
    5,428.42/8,141 = 2,308.41/x
  3. Step 3: Cross multiply
    5,428.42x = 8,141 × 2,308.41
  4. Step 4: Simplify right side
    5,428.42x = 18,792,765.81
  5. Step 5: Solve for x
    x = 18,792,765.81/5,428.42
  6. Step 6: Final answer
    x = 3,461.92

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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.