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Finding the Fourth Proportional to 3,626.25, 5,004.63 and 2,229

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Solution

The fourth proportional to 3,626.25, 5,004.63 and 2,229 is: 3,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.25 : 5,004.63 = 2,229 : x
  2. Step 2: Convert to fraction form
    3,626.25/5,004.63 = 2,229/x
  3. Step 3: Cross multiply
    3,626.25x = 5,004.63 × 2,229
  4. Step 4: Simplify right side
    3,626.25x = 11,155,320.27
  5. Step 5: Solve for x
    x = 11,155,320.27/3,626.25
  6. Step 6: Final answer
    x = 3,076.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.