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Finding the Fourth Proportional to 5,456.86, 7,529.16 and 3,218.56

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Solution

The fourth proportional to 5,456.86, 7,529.16 and 3,218.56 is: 4,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.86 : 7,529.16 = 3,218.56 : x
  2. Step 2: Convert to fraction form
    5,456.86/7,529.16 = 3,218.56/x
  3. Step 3: Cross multiply
    5,456.86x = 7,529.16 × 3,218.56
  4. Step 4: Simplify right side
    5,456.86x = 24,233,053.21
  5. Step 5: Solve for x
    x = 24,233,053.21/5,456.86
  6. Step 6: Final answer
    x = 4,440.84

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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.