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Finding the Fourth Proportional to 4,425.64, 6,640.70 and 3,385

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Solution

The fourth proportional to 4,425.64, 6,640.70 and 3,385 is: 5,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.64 : 6,640.70 = 3,385 : x
  2. Step 2: Convert to fraction form
    4,425.64/6,640.70 = 3,385/x
  3. Step 3: Cross multiply
    4,425.64x = 6,640.70 × 3,385
  4. Step 4: Simplify right side
    4,425.64x = 22,478,769.50
  5. Step 5: Solve for x
    x = 22,478,769.50/4,425.64
  6. Step 6: Final answer
    x = 5,079.21

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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.