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Finding the Fourth Proportional to 3,299.25, 4,554.51 and 2,121

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Solution

The fourth proportional to 3,299.25, 4,554.51 and 2,121 is: 2,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.25 : 4,554.51 = 2,121 : x
  2. Step 2: Convert to fraction form
    3,299.25/4,554.51 = 2,121/x
  3. Step 3: Cross multiply
    3,299.25x = 4,554.51 × 2,121
  4. Step 4: Simplify right side
    3,299.25x = 9,660,115.71
  5. Step 5: Solve for x
    x = 9,660,115.71/3,299.25
  6. Step 6: Final answer
    x = 2,927.97

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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.