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Finding the Fourth Proportional to 3,382.98, 4,663.22 and 3,111.44

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Solution

The fourth proportional to 3,382.98, 4,663.22 and 3,111.44 is: 4,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.98 : 4,663.22 = 3,111.44 : x
  2. Step 2: Convert to fraction form
    3,382.98/4,663.22 = 3,111.44/x
  3. Step 3: Cross multiply
    3,382.98x = 4,663.22 × 3,111.44
  4. Step 4: Simplify right side
    3,382.98x = 14,509,329.24
  5. Step 5: Solve for x
    x = 14,509,329.24/3,382.98
  6. Step 6: Final answer
    x = 4,288.92

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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.