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Finding the Fourth Proportional to 3,901.52, 5,852.42 and 979.84

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Solution

The fourth proportional to 3,901.52, 5,852.42 and 979.84 is: 1,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.52 : 5,852.42 = 979.84 : x
  2. Step 2: Convert to fraction form
    3,901.52/5,852.42 = 979.84/x
  3. Step 3: Cross multiply
    3,901.52x = 5,852.42 × 979.84
  4. Step 4: Simplify right side
    3,901.52x = 5,734,435.21
  5. Step 5: Solve for x
    x = 5,734,435.21/3,901.52
  6. Step 6: Final answer
    x = 1,469.80

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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.