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Finding the Fourth Proportional to 5,959.05, 8,213.58 and 4,187.58

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Solution

The fourth proportional to 5,959.05, 8,213.58 and 4,187.58 is: 5,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.05 : 8,213.58 = 4,187.58 : x
  2. Step 2: Convert to fraction form
    5,959.05/8,213.58 = 4,187.58/x
  3. Step 3: Cross multiply
    5,959.05x = 8,213.58 × 4,187.58
  4. Step 4: Simplify right side
    5,959.05x = 34,395,023.34
  5. Step 5: Solve for x
    x = 34,395,023.34/5,959.05
  6. Step 6: Final answer
    x = 5,771.90

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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.