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Finding the Fourth Proportional to 6,023.82, 8,298 and 5,236.50

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Solution

The fourth proportional to 6,023.82, 8,298 and 5,236.50 is: 7,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.82 : 8,298 = 5,236.50 : x
  2. Step 2: Convert to fraction form
    6,023.82/8,298 = 5,236.50/x
  3. Step 3: Cross multiply
    6,023.82x = 8,298 × 5,236.50
  4. Step 4: Simplify right side
    6,023.82x = 43,452,477
  5. Step 5: Solve for x
    x = 43,452,477/6,023.82
  6. Step 6: Final answer
    x = 7,213.44

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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.