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Finding the Fourth Proportional to 3,581.64, 5,372.46 and 984.51

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Solution

The fourth proportional to 3,581.64, 5,372.46 and 984.51 is: 1,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.64 : 5,372.46 = 984.51 : x
  2. Step 2: Convert to fraction form
    3,581.64/5,372.46 = 984.51/x
  3. Step 3: Cross multiply
    3,581.64x = 5,372.46 × 984.51
  4. Step 4: Simplify right side
    3,581.64x = 5,289,240.59
  5. Step 5: Solve for x
    x = 5,289,240.59/3,581.64
  6. Step 6: Final answer
    x = 1,476.77

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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.