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Finding the Fourth Proportional to 6,233.30, 8,602.38 and 3,581.36

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Solution

The fourth proportional to 6,233.30, 8,602.38 and 3,581.36 is: 4,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.30 : 8,602.38 = 3,581.36 : x
  2. Step 2: Convert to fraction form
    6,233.30/8,602.38 = 3,581.36/x
  3. Step 3: Cross multiply
    6,233.30x = 8,602.38 × 3,581.36
  4. Step 4: Simplify right side
    6,233.30x = 30,808,219.64
  5. Step 5: Solve for x
    x = 30,808,219.64/6,233.30
  6. Step 6: Final answer
    x = 4,942.52

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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.