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Finding the Fourth Proportional to 3,642.80, 5,464.20 and 3,225.20

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Solution

The fourth proportional to 3,642.80, 5,464.20 and 3,225.20 is: 4,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.80 : 5,464.20 = 3,225.20 : x
  2. Step 2: Convert to fraction form
    3,642.80/5,464.20 = 3,225.20/x
  3. Step 3: Cross multiply
    3,642.80x = 5,464.20 × 3,225.20
  4. Step 4: Simplify right side
    3,642.80x = 17,623,137.84
  5. Step 5: Solve for x
    x = 17,623,137.84/3,642.80
  6. Step 6: Final answer
    x = 4,837.80

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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.