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Finding the Fourth Proportional to 5,640.48, 8,461.26 and 1,942.20

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Solution

The fourth proportional to 5,640.48, 8,461.26 and 1,942.20 is: 2,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.48 : 8,461.26 = 1,942.20 : x
  2. Step 2: Convert to fraction form
    5,640.48/8,461.26 = 1,942.20/x
  3. Step 3: Cross multiply
    5,640.48x = 8,461.26 × 1,942.20
  4. Step 4: Simplify right side
    5,640.48x = 16,433,459.17
  5. Step 5: Solve for x
    x = 16,433,459.17/5,640.48
  6. Step 6: Final answer
    x = 2,913.49

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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.