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Finding the Fourth Proportional to 3,673.32, 5,509.97 and 1,076.25

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Solution

The fourth proportional to 3,673.32, 5,509.97 and 1,076.25 is: 1,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.32 : 5,509.97 = 1,076.25 : x
  2. Step 2: Convert to fraction form
    3,673.32/5,509.97 = 1,076.25/x
  3. Step 3: Cross multiply
    3,673.32x = 5,509.97 × 1,076.25
  4. Step 4: Simplify right side
    3,673.32x = 5,930,099.83
  5. Step 5: Solve for x
    x = 5,930,099.83/3,673.32
  6. Step 6: Final answer
    x = 1,614.37

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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.