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Finding the Fourth Proportional to 4,712.05, 6,502.98 and 3,221.98

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Solution

The fourth proportional to 4,712.05, 6,502.98 and 3,221.98 is: 4,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.05 : 6,502.98 = 3,221.98 : x
  2. Step 2: Convert to fraction form
    4,712.05/6,502.98 = 3,221.98/x
  3. Step 3: Cross multiply
    4,712.05x = 6,502.98 × 3,221.98
  4. Step 4: Simplify right side
    4,712.05x = 20,952,467.33
  5. Step 5: Solve for x
    x = 20,952,467.33/4,712.05
  6. Step 6: Final answer
    x = 4,446.57

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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.