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Finding the Fourth Proportional to 5,261.64, 7,222.92 and 5,212.44

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Solution

The fourth proportional to 5,261.64, 7,222.92 and 5,212.44 is: 7,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.64 : 7,222.92 = 5,212.44 : x
  2. Step 2: Convert to fraction form
    5,261.64/7,222.92 = 5,212.44/x
  3. Step 3: Cross multiply
    5,261.64x = 7,222.92 × 5,212.44
  4. Step 4: Simplify right side
    5,261.64x = 37,649,037.12
  5. Step 5: Solve for x
    x = 37,649,037.12/5,261.64
  6. Step 6: Final answer
    x = 7,155.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.