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Finding the Fourth Proportional to 5,100.28, 7,645.74 and 1,982.38

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Solution

The fourth proportional to 5,100.28, 7,645.74 and 1,982.38 is: 2,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.28 : 7,645.74 = 1,982.38 : x
  2. Step 2: Convert to fraction form
    5,100.28/7,645.74 = 1,982.38/x
  3. Step 3: Cross multiply
    5,100.28x = 7,645.74 × 1,982.38
  4. Step 4: Simplify right side
    5,100.28x = 15,156,762.06
  5. Step 5: Solve for x
    x = 15,156,762.06/5,100.28
  6. Step 6: Final answer
    x = 2,971.75

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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.