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Finding the Fourth Proportional to 4,222.96, 6,334.44 and 1,916.08

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Solution

The fourth proportional to 4,222.96, 6,334.44 and 1,916.08 is: 2,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.96 : 6,334.44 = 1,916.08 : x
  2. Step 2: Convert to fraction form
    4,222.96/6,334.44 = 1,916.08/x
  3. Step 3: Cross multiply
    4,222.96x = 6,334.44 × 1,916.08
  4. Step 4: Simplify right side
    4,222.96x = 12,137,293.80
  5. Step 5: Solve for x
    x = 12,137,293.80/4,222.96
  6. Step 6: Final answer
    x = 2,874.12

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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.