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Finding the Fourth Proportional to 3,415.92, 5,123.70 and 1,107.24

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Solution

The fourth proportional to 3,415.92, 5,123.70 and 1,107.24 is: 1,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.92 : 5,123.70 = 1,107.24 : x
  2. Step 2: Convert to fraction form
    3,415.92/5,123.70 = 1,107.24/x
  3. Step 3: Cross multiply
    3,415.92x = 5,123.70 × 1,107.24
  4. Step 4: Simplify right side
    3,415.92x = 5,673,165.59
  5. Step 5: Solve for x
    x = 5,673,165.59/3,415.92
  6. Step 6: Final answer
    x = 1,660.80

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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.