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Finding the Fourth Proportional to 5,662.58, 8,489.42 and 3,578.20

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Solution

The fourth proportional to 5,662.58, 8,489.42 and 3,578.20 is: 5,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.58 : 8,489.42 = 3,578.20 : x
  2. Step 2: Convert to fraction form
    5,662.58/8,489.42 = 3,578.20/x
  3. Step 3: Cross multiply
    5,662.58x = 8,489.42 × 3,578.20
  4. Step 4: Simplify right side
    5,662.58x = 30,376,842.64
  5. Step 5: Solve for x
    x = 30,376,842.64/5,662.58
  6. Step 6: Final answer
    x = 5,364.49

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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.