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Finding the Fourth Proportional to 3,380.54, 4,663.86 and 2,121.06

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Solution

The fourth proportional to 3,380.54, 4,663.86 and 2,121.06 is: 2,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.54 : 4,663.86 = 2,121.06 : x
  2. Step 2: Convert to fraction form
    3,380.54/4,663.86 = 2,121.06/x
  3. Step 3: Cross multiply
    3,380.54x = 4,663.86 × 2,121.06
  4. Step 4: Simplify right side
    3,380.54x = 9,892,326.89
  5. Step 5: Solve for x
    x = 9,892,326.89/3,380.54
  6. Step 6: Final answer
    x = 2,926.26

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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.