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Finding the Fourth Proportional to 4,916.94, 7,375.44 and 1,993.32

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Solution

The fourth proportional to 4,916.94, 7,375.44 and 1,993.32 is: 2,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.94 : 7,375.44 = 1,993.32 : x
  2. Step 2: Convert to fraction form
    4,916.94/7,375.44 = 1,993.32/x
  3. Step 3: Cross multiply
    4,916.94x = 7,375.44 × 1,993.32
  4. Step 4: Simplify right side
    4,916.94x = 14,701,612.06
  5. Step 5: Solve for x
    x = 14,701,612.06/4,916.94
  6. Step 6: Final answer
    x = 2,989.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.