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Finding the Fourth Proportional to 5,704.62, 8,542.65 and 3,618.30

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Solution

The fourth proportional to 5,704.62, 8,542.65 and 3,618.30 is: 5,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.62 : 8,542.65 = 3,618.30 : x
  2. Step 2: Convert to fraction form
    5,704.62/8,542.65 = 3,618.30/x
  3. Step 3: Cross multiply
    5,704.62x = 8,542.65 × 3,618.30
  4. Step 4: Simplify right side
    5,704.62x = 30,909,870.50
  5. Step 5: Solve for x
    x = 30,909,870.50/5,704.62
  6. Step 6: Final answer
    x = 5,418.39

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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.