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Finding the Fourth Proportional to 5,493.40, 8,240.10 and 1,983.40

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Solution

The fourth proportional to 5,493.40, 8,240.10 and 1,983.40 is: 2,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.40 : 8,240.10 = 1,983.40 : x
  2. Step 2: Convert to fraction form
    5,493.40/8,240.10 = 1,983.40/x
  3. Step 3: Cross multiply
    5,493.40x = 8,240.10 × 1,983.40
  4. Step 4: Simplify right side
    5,493.40x = 16,343,414.34
  5. Step 5: Solve for x
    x = 16,343,414.34/5,493.40
  6. Step 6: Final answer
    x = 2,975.10

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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.