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Finding the Fourth Proportional to 5,945.96, 8,212.32 and 3,953.07

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Solution

The fourth proportional to 5,945.96, 8,212.32 and 3,953.07 is: 5,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.96 : 8,212.32 = 3,953.07 : x
  2. Step 2: Convert to fraction form
    5,945.96/8,212.32 = 3,953.07/x
  3. Step 3: Cross multiply
    5,945.96x = 8,212.32 × 3,953.07
  4. Step 4: Simplify right side
    5,945.96x = 32,463,875.82
  5. Step 5: Solve for x
    x = 32,463,875.82/5,945.96
  6. Step 6: Final answer
    x = 5,459.82

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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.