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Finding the Fourth Proportional to 3,204.70, 4,807.05 and 3,022.45

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Solution

The fourth proportional to 3,204.70, 4,807.05 and 3,022.45 is: 4,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.70 : 4,807.05 = 3,022.45 : x
  2. Step 2: Convert to fraction form
    3,204.70/4,807.05 = 3,022.45/x
  3. Step 3: Cross multiply
    3,204.70x = 4,807.05 × 3,022.45
  4. Step 4: Simplify right side
    3,204.70x = 14,529,068.27
  5. Step 5: Solve for x
    x = 14,529,068.27/3,204.70
  6. Step 6: Final answer
    x = 4,533.68

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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.