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Finding the Fourth Proportional to 3,571.60, 5,346.60 and 3,182.80

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Solution

The fourth proportional to 3,571.60, 5,346.60 and 3,182.80 is: 4,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.60 : 5,346.60 = 3,182.80 : x
  2. Step 2: Convert to fraction form
    3,571.60/5,346.60 = 3,182.80/x
  3. Step 3: Cross multiply
    3,571.60x = 5,346.60 × 3,182.80
  4. Step 4: Simplify right side
    3,571.60x = 17,017,158.48
  5. Step 5: Solve for x
    x = 17,017,158.48/3,571.60
  6. Step 6: Final answer
    x = 4,764.58

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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.