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Finding the Fourth Proportional to 5,213.56, 7,811.22 and 4,341.66

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Solution

The fourth proportional to 5,213.56, 7,811.22 and 4,341.66 is: 6,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.56 : 7,811.22 = 4,341.66 : x
  2. Step 2: Convert to fraction form
    5,213.56/7,811.22 = 4,341.66/x
  3. Step 3: Cross multiply
    5,213.56x = 7,811.22 × 4,341.66
  4. Step 4: Simplify right side
    5,213.56x = 33,913,661.43
  5. Step 5: Solve for x
    x = 33,913,661.43/5,213.56
  6. Step 6: Final answer
    x = 6,504.90

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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.