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Finding the Fourth Proportional to 3,589.83, 5,374.71 and 1,940.46

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Solution

The fourth proportional to 3,589.83, 5,374.71 and 1,940.46 is: 2,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.83 : 5,374.71 = 1,940.46 : x
  2. Step 2: Convert to fraction form
    3,589.83/5,374.71 = 1,940.46/x
  3. Step 3: Cross multiply
    3,589.83x = 5,374.71 × 1,940.46
  4. Step 4: Simplify right side
    3,589.83x = 10,429,409.77
  5. Step 5: Solve for x
    x = 10,429,409.77/3,589.83
  6. Step 6: Final answer
    x = 2,905.27

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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.