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Finding the Fourth Proportional to 3,418.91, 5,123.41 and 1,857.59

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Solution

The fourth proportional to 3,418.91, 5,123.41 and 1,857.59 is: 2,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.91 : 5,123.41 = 1,857.59 : x
  2. Step 2: Convert to fraction form
    3,418.91/5,123.41 = 1,857.59/x
  3. Step 3: Cross multiply
    3,418.91x = 5,123.41 × 1,857.59
  4. Step 4: Simplify right side
    3,418.91x = 9,517,164.92
  5. Step 5: Solve for x
    x = 9,517,164.92/3,418.91
  6. Step 6: Final answer
    x = 2,783.69

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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.