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Finding the Fourth Proportional to 3,879.16, 5,817.54 and 1,106.04

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Solution

The fourth proportional to 3,879.16, 5,817.54 and 1,106.04 is: 1,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.16 : 5,817.54 = 1,106.04 : x
  2. Step 2: Convert to fraction form
    3,879.16/5,817.54 = 1,106.04/x
  3. Step 3: Cross multiply
    3,879.16x = 5,817.54 × 1,106.04
  4. Step 4: Simplify right side
    3,879.16x = 6,434,431.94
  5. Step 5: Solve for x
    x = 6,434,431.94/3,879.16
  6. Step 6: Final answer
    x = 1,658.72

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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.