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Finding the Fourth Proportional to 5,223.36, 7,201.68 and 3,823.68

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Solution

The fourth proportional to 5,223.36, 7,201.68 and 3,823.68 is: 5,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.36 : 7,201.68 = 3,823.68 : x
  2. Step 2: Convert to fraction form
    5,223.36/7,201.68 = 3,823.68/x
  3. Step 3: Cross multiply
    5,223.36x = 7,201.68 × 3,823.68
  4. Step 4: Simplify right side
    5,223.36x = 27,536,919.78
  5. Step 5: Solve for x
    x = 27,536,919.78/5,223.36
  6. Step 6: Final answer
    x = 5,271.88

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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.