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Finding the Fourth Proportional to 3,916.25, 5,874.47 and 994.78

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Solution

The fourth proportional to 3,916.25, 5,874.47 and 994.78 is: 1,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.25 : 5,874.47 = 994.78 : x
  2. Step 2: Convert to fraction form
    3,916.25/5,874.47 = 994.78/x
  3. Step 3: Cross multiply
    3,916.25x = 5,874.47 × 994.78
  4. Step 4: Simplify right side
    3,916.25x = 5,843,770.92
  5. Step 5: Solve for x
    x = 5,843,770.92/3,916.25
  6. Step 6: Final answer
    x = 1,492.19

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1.5x scale

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.