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Finding the Fourth Proportional to 5,204.97, 7,806.03 and 2,428.89

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Solution

The fourth proportional to 5,204.97, 7,806.03 and 2,428.89 is: 3,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.97 : 7,806.03 = 2,428.89 : x
  2. Step 2: Convert to fraction form
    5,204.97/7,806.03 = 2,428.89/x
  3. Step 3: Cross multiply
    5,204.97x = 7,806.03 × 2,428.89
  4. Step 4: Simplify right side
    5,204.97x = 18,959,988.21
  5. Step 5: Solve for x
    x = 18,959,988.21/5,204.97
  6. Step 6: Final answer
    x = 3,642.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.