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Finding the Fourth Proportional to 3,659.42, 5,488.02 and 3,074.60

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Solution

The fourth proportional to 3,659.42, 5,488.02 and 3,074.60 is: 4,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.42 : 5,488.02 = 3,074.60 : x
  2. Step 2: Convert to fraction form
    3,659.42/5,488.02 = 3,074.60/x
  3. Step 3: Cross multiply
    3,659.42x = 5,488.02 × 3,074.60
  4. Step 4: Simplify right side
    3,659.42x = 16,873,466.29
  5. Step 5: Solve for x
    x = 16,873,466.29/3,659.42
  6. Step 6: Final answer
    x = 4,610.97

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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.