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Finding the Fourth Proportional to 3,380.47, 4,662.01 and 2,121.66

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Solution

The fourth proportional to 3,380.47, 4,662.01 and 2,121.66 is: 2,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.47 : 4,662.01 = 2,121.66 : x
  2. Step 2: Convert to fraction form
    3,380.47/4,662.01 = 2,121.66/x
  3. Step 3: Cross multiply
    3,380.47x = 4,662.01 × 2,121.66
  4. Step 4: Simplify right side
    3,380.47x = 9,891,190.85
  5. Step 5: Solve for x
    x = 9,891,190.85/3,380.47
  6. Step 6: Final answer
    x = 2,925.98

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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.