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Finding the Fourth Proportional to 3,204.60, 4,499.40 and 3,204.60

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Solution

The fourth proportional to 3,204.60, 4,499.40 and 3,204.60 is: 4,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.60 : 4,499.40 = 3,204.60 : x
  2. Step 2: Convert to fraction form
    3,204.60/4,499.40 = 3,204.60/x
  3. Step 3: Cross multiply
    3,204.60x = 4,499.40 × 3,204.60
  4. Step 4: Simplify right side
    3,204.60x = 14,418,777.24
  5. Step 5: Solve for x
    x = 14,418,777.24/3,204.60
  6. Step 6: Final answer
    x = 4,499.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.