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Finding the Fourth Proportional to 5,640.66, 8,461.56 and 1,942.40

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Solution

The fourth proportional to 5,640.66, 8,461.56 and 1,942.40 is: 2,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.66 : 8,461.56 = 1,942.40 : x
  2. Step 2: Convert to fraction form
    5,640.66/8,461.56 = 1,942.40/x
  3. Step 3: Cross multiply
    5,640.66x = 8,461.56 × 1,942.40
  4. Step 4: Simplify right side
    5,640.66x = 16,435,734.14
  5. Step 5: Solve for x
    x = 16,435,734.14/5,640.66
  6. Step 6: Final answer
    x = 2,913.80

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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.