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Finding the Fourth Proportional to 3,683.52, 5,525.24 and 1,086.48

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Solution

The fourth proportional to 3,683.52, 5,525.24 and 1,086.48 is: 1,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.52 : 5,525.24 = 1,086.48 : x
  2. Step 2: Convert to fraction form
    3,683.52/5,525.24 = 1,086.48/x
  3. Step 3: Cross multiply
    3,683.52x = 5,525.24 × 1,086.48
  4. Step 4: Simplify right side
    3,683.52x = 6,003,062.76
  5. Step 5: Solve for x
    x = 6,003,062.76/3,683.52
  6. Step 6: Final answer
    x = 1,629.71

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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.