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Finding the Fourth Proportional to 3,154.50, 4,725.54 and 2,974.68

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Solution

The fourth proportional to 3,154.50, 4,725.54 and 2,974.68 is: 4,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.50 : 4,725.54 = 2,974.68 : x
  2. Step 2: Convert to fraction form
    3,154.50/4,725.54 = 2,974.68/x
  3. Step 3: Cross multiply
    3,154.50x = 4,725.54 × 2,974.68
  4. Step 4: Simplify right side
    3,154.50x = 14,056,969.33
  5. Step 5: Solve for x
    x = 14,056,969.33/3,154.50
  6. Step 6: Final answer
    x = 4,456.16

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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.