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Finding the Fourth Proportional to 4,846.46, 7,270.29 and 4,771.40

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Solution

The fourth proportional to 4,846.46, 7,270.29 and 4,771.40 is: 7,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.46 : 7,270.29 = 4,771.40 : x
  2. Step 2: Convert to fraction form
    4,846.46/7,270.29 = 4,771.40/x
  3. Step 3: Cross multiply
    4,846.46x = 7,270.29 × 4,771.40
  4. Step 4: Simplify right side
    4,846.46x = 34,689,425.35
  5. Step 5: Solve for x
    x = 34,689,425.35/4,846.46
  6. Step 6: Final answer
    x = 7,157.69

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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.