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Finding the Fourth Proportional to 4,712.82, 6,502.16 and 3,367.30

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Solution

The fourth proportional to 4,712.82, 6,502.16 and 3,367.30 is: 4,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.82 : 6,502.16 = 3,367.30 : x
  2. Step 2: Convert to fraction form
    4,712.82/6,502.16 = 3,367.30/x
  3. Step 3: Cross multiply
    4,712.82x = 6,502.16 × 3,367.30
  4. Step 4: Simplify right side
    4,712.82x = 21,894,723.37
  5. Step 5: Solve for x
    x = 21,894,723.37/4,712.82
  6. Step 6: Final answer
    x = 4,645.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.