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Finding the Fourth Proportional to 5,204.46, 7,806.09 and 1,308.57

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Solution

The fourth proportional to 5,204.46, 7,806.09 and 1,308.57 is: 1,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.46 : 7,806.09 = 1,308.57 : x
  2. Step 2: Convert to fraction form
    5,204.46/7,806.09 = 1,308.57/x
  3. Step 3: Cross multiply
    5,204.46x = 7,806.09 × 1,308.57
  4. Step 4: Simplify right side
    5,204.46x = 10,214,815.19
  5. Step 5: Solve for x
    x = 10,214,815.19/5,204.46
  6. Step 6: Final answer
    x = 1,962.70

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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.