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Finding the Fourth Proportional to 3,414.94, 5,123.22 and 1,106.44

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Solution

The fourth proportional to 3,414.94, 5,123.22 and 1,106.44 is: 1,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.94 : 5,123.22 = 1,106.44 : x
  2. Step 2: Convert to fraction form
    3,414.94/5,123.22 = 1,106.44/x
  3. Step 3: Cross multiply
    3,414.94x = 5,123.22 × 1,106.44
  4. Step 4: Simplify right side
    3,414.94x = 5,668,518.58
  5. Step 5: Solve for x
    x = 5,668,518.58/3,414.94
  6. Step 6: Final answer
    x = 1,659.92

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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.