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Finding the Fourth Proportional to 4,830.70, 7,211.09 and 4,469.98

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Solution

The fourth proportional to 4,830.70, 7,211.09 and 4,469.98 is: 6,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.70 : 7,211.09 = 4,469.98 : x
  2. Step 2: Convert to fraction form
    4,830.70/7,211.09 = 4,469.98/x
  3. Step 3: Cross multiply
    4,830.70x = 7,211.09 × 4,469.98
  4. Step 4: Simplify right side
    4,830.70x = 32,233,428.08
  5. Step 5: Solve for x
    x = 32,233,428.08/4,830.70
  6. Step 6: Final answer
    x = 6,672.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.