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Finding the Fourth Proportional to 5,204.40, 7,806.60 and 1,694.40

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Solution

The fourth proportional to 5,204.40, 7,806.60 and 1,694.40 is: 2,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.40 : 7,806.60 = 1,694.40 : x
  2. Step 2: Convert to fraction form
    5,204.40/7,806.60 = 1,694.40/x
  3. Step 3: Cross multiply
    5,204.40x = 7,806.60 × 1,694.40
  4. Step 4: Simplify right side
    5,204.40x = 13,227,503.04
  5. Step 5: Solve for x
    x = 13,227,503.04/5,204.40
  6. Step 6: Final answer
    x = 2,541.60

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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.