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Finding the Fourth Proportional to 4,912.58, 7,378.32 and 4,211.39

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Solution

The fourth proportional to 4,912.58, 7,378.32 and 4,211.39 is: 6,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.58 : 7,378.32 = 4,211.39 : x
  2. Step 2: Convert to fraction form
    4,912.58/7,378.32 = 4,211.39/x
  3. Step 3: Cross multiply
    4,912.58x = 7,378.32 × 4,211.39
  4. Step 4: Simplify right side
    4,912.58x = 31,072,946.17
  5. Step 5: Solve for x
    x = 31,072,946.17/4,912.58
  6. Step 6: Final answer
    x = 6,325.19

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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.