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Finding the Fourth Proportional to 5,618.96, 8,428.40 and 2,688.40

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Solution

The fourth proportional to 5,618.96, 8,428.40 and 2,688.40 is: 4,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.96 : 8,428.40 = 2,688.40 : x
  2. Step 2: Convert to fraction form
    5,618.96/8,428.40 = 2,688.40/x
  3. Step 3: Cross multiply
    5,618.96x = 8,428.40 × 2,688.40
  4. Step 4: Simplify right side
    5,618.96x = 22,658,910.56
  5. Step 5: Solve for x
    x = 22,658,910.56/5,618.96
  6. Step 6: Final answer
    x = 4,032.58

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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.