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Finding the Fourth Proportional to 4,697.70, 7,043.70 and 3,235.23

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Solution

The fourth proportional to 4,697.70, 7,043.70 and 3,235.23 is: 4,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.70 : 7,043.70 = 3,235.23 : x
  2. Step 2: Convert to fraction form
    4,697.70/7,043.70 = 3,235.23/x
  3. Step 3: Cross multiply
    4,697.70x = 7,043.70 × 3,235.23
  4. Step 4: Simplify right side
    4,697.70x = 22,787,989.55
  5. Step 5: Solve for x
    x = 22,787,989.55/4,697.70
  6. Step 6: Final answer
    x = 4,850.88

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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.