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Finding the Fourth Proportional to 3,380.54, 5,068.71 and 1,897.43

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Solution

The fourth proportional to 3,380.54, 5,068.71 and 1,897.43 is: 2,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.54 : 5,068.71 = 1,897.43 : x
  2. Step 2: Convert to fraction form
    3,380.54/5,068.71 = 1,897.43/x
  3. Step 3: Cross multiply
    3,380.54x = 5,068.71 × 1,897.43
  4. Step 4: Simplify right side
    3,380.54x = 9,617,497.07
  5. Step 5: Solve for x
    x = 9,617,497.07/3,380.54
  6. Step 6: Final answer
    x = 2,844.96

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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.