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Finding the Fourth Proportional to 4,912.95, 7,378.88 and 4,211.76

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Solution

The fourth proportional to 4,912.95, 7,378.88 and 4,211.76 is: 6,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.95 : 7,378.88 = 4,211.76 : x
  2. Step 2: Convert to fraction form
    4,912.95/7,378.88 = 4,211.76/x
  3. Step 3: Cross multiply
    4,912.95x = 7,378.88 × 4,211.76
  4. Step 4: Simplify right side
    4,912.95x = 31,078,050.57
  5. Step 5: Solve for x
    x = 31,078,050.57/4,912.95
  6. Step 6: Final answer
    x = 6,325.74

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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.