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Finding the Fourth Proportional to 3,678.67, 5,076.49 and 2,106.67

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Solution

The fourth proportional to 3,678.67, 5,076.49 and 2,106.67 is: 2,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.67 : 5,076.49 = 2,106.67 : x
  2. Step 2: Convert to fraction form
    3,678.67/5,076.49 = 2,106.67/x
  3. Step 3: Cross multiply
    3,678.67x = 5,076.49 × 2,106.67
  4. Step 4: Simplify right side
    3,678.67x = 10,694,489.19
  5. Step 5: Solve for x
    x = 10,694,489.19/3,678.67
  6. Step 6: Final answer
    x = 2,907.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.