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Finding the Fourth Proportional to 3,879.36, 5,818.92 and 1,106.01

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Solution

The fourth proportional to 3,879.36, 5,818.92 and 1,106.01 is: 1,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.36 : 5,818.92 = 1,106.01 : x
  2. Step 2: Convert to fraction form
    3,879.36/5,818.92 = 1,106.01/x
  3. Step 3: Cross multiply
    3,879.36x = 5,818.92 × 1,106.01
  4. Step 4: Simplify right side
    3,879.36x = 6,435,783.71
  5. Step 5: Solve for x
    x = 6,435,783.71/3,879.36
  6. Step 6: Final answer
    x = 1,658.98

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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.