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Finding the Fourth Proportional to 4,806.54, 7,211.23 and 1,429.41

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Solution

The fourth proportional to 4,806.54, 7,211.23 and 1,429.41 is: 2,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.54 : 7,211.23 = 1,429.41 : x
  2. Step 2: Convert to fraction form
    4,806.54/7,211.23 = 1,429.41/x
  3. Step 3: Cross multiply
    4,806.54x = 7,211.23 × 1,429.41
  4. Step 4: Simplify right side
    4,806.54x = 10,307,827.74
  5. Step 5: Solve for x
    x = 10,307,827.74/4,806.54
  6. Step 6: Final answer
    x = 2,144.54

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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.