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Finding the Fourth Proportional to 3,204.45, 4,495.95 and 3,204.45

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Solution

The fourth proportional to 3,204.45, 4,495.95 and 3,204.45 is: 4,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.45 : 4,495.95 = 3,204.45 : x
  2. Step 2: Convert to fraction form
    3,204.45/4,495.95 = 3,204.45/x
  3. Step 3: Cross multiply
    3,204.45x = 4,495.95 × 3,204.45
  4. Step 4: Simplify right side
    3,204.45x = 14,407,046.98
  5. Step 5: Solve for x
    x = 14,407,046.98/3,204.45
  6. Step 6: Final answer
    x = 4,495.95

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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.