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Finding the Fourth Proportional to 3,440.05, 5,160.01 and 843.01

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Solution

The fourth proportional to 3,440.05, 5,160.01 and 843.01 is: 1,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.05 : 5,160.01 = 843.01 : x
  2. Step 2: Convert to fraction form
    3,440.05/5,160.01 = 843.01/x
  3. Step 3: Cross multiply
    3,440.05x = 5,160.01 × 843.01
  4. Step 4: Simplify right side
    3,440.05x = 4,349,940.03
  5. Step 5: Solve for x
    x = 4,349,940.03/3,440.05
  6. Step 6: Final answer
    x = 1,264.50

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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.