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Finding the Fourth Proportional to 4,838.03, 7,256.97 and 1,916.30

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Solution

The fourth proportional to 4,838.03, 7,256.97 and 1,916.30 is: 2,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.03 : 7,256.97 = 1,916.30 : x
  2. Step 2: Convert to fraction form
    4,838.03/7,256.97 = 1,916.30/x
  3. Step 3: Cross multiply
    4,838.03x = 7,256.97 × 1,916.30
  4. Step 4: Simplify right side
    4,838.03x = 13,906,495.33
  5. Step 5: Solve for x
    x = 13,906,495.33/4,838.03
  6. Step 6: Final answer
    x = 2,874.42

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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.