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Finding the Fourth Proportional to 3,971.16, 5,472.72 and 2,973.96

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Solution

The fourth proportional to 3,971.16, 5,472.72 and 2,973.96 is: 4,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.16 : 5,472.72 = 2,973.96 : x
  2. Step 2: Convert to fraction form
    3,971.16/5,472.72 = 2,973.96/x
  3. Step 3: Cross multiply
    3,971.16x = 5,472.72 × 2,973.96
  4. Step 4: Simplify right side
    3,971.16x = 16,275,650.37
  5. Step 5: Solve for x
    x = 16,275,650.37/3,971.16
  6. Step 6: Final answer
    x = 4,098.46

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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.