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Finding the Fourth Proportional to 3,415.44, 5,123.97 and 1,106.94

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Solution

The fourth proportional to 3,415.44, 5,123.97 and 1,106.94 is: 1,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.44 : 5,123.97 = 1,106.94 : x
  2. Step 2: Convert to fraction form
    3,415.44/5,123.97 = 1,106.94/x
  3. Step 3: Cross multiply
    3,415.44x = 5,123.97 × 1,106.94
  4. Step 4: Simplify right side
    3,415.44x = 5,671,921.82
  5. Step 5: Solve for x
    x = 5,671,921.82/3,415.44
  6. Step 6: Final answer
    x = 1,660.67

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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.