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Finding the Fourth Proportional to 4,472.16, 6,708.31 and 1,185.23

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Solution

The fourth proportional to 4,472.16, 6,708.31 and 1,185.23 is: 1,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.16 : 6,708.31 = 1,185.23 : x
  2. Step 2: Convert to fraction form
    4,472.16/6,708.31 = 1,185.23/x
  3. Step 3: Cross multiply
    4,472.16x = 6,708.31 × 1,185.23
  4. Step 4: Simplify right side
    4,472.16x = 7,950,890.26
  5. Step 5: Solve for x
    x = 7,950,890.26/4,472.16
  6. Step 6: Final answer
    x = 1,777.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.