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Finding the Fourth Proportional to 5,294.55, 7,942.58 and 1,735.90

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Solution

The fourth proportional to 5,294.55, 7,942.58 and 1,735.90 is: 2,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.55 : 7,942.58 = 1,735.90 : x
  2. Step 2: Convert to fraction form
    5,294.55/7,942.58 = 1,735.90/x
  3. Step 3: Cross multiply
    5,294.55x = 7,942.58 × 1,735.90
  4. Step 4: Simplify right side
    5,294.55x = 13,787,524.62
  5. Step 5: Solve for x
    x = 13,787,524.62/5,294.55
  6. Step 6: Final answer
    x = 2,604.10

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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.