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Finding the Fourth Proportional to 5,735.40, 8,604.06 and 1,839.40

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Solution

The fourth proportional to 5,735.40, 8,604.06 and 1,839.40 is: 2,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.40 : 8,604.06 = 1,839.40 : x
  2. Step 2: Convert to fraction form
    5,735.40/8,604.06 = 1,839.40/x
  3. Step 3: Cross multiply
    5,735.40x = 8,604.06 × 1,839.40
  4. Step 4: Simplify right side
    5,735.40x = 15,826,307.96
  5. Step 5: Solve for x
    x = 15,826,307.96/5,735.40
  6. Step 6: Final answer
    x = 2,759.41

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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.