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Finding the Fourth Proportional to 3,878.95, 5,818.60 and 1,105.82

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Solution

The fourth proportional to 3,878.95, 5,818.60 and 1,105.82 is: 1,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.95 : 5,818.60 = 1,105.82 : x
  2. Step 2: Convert to fraction form
    3,878.95/5,818.60 = 1,105.82/x
  3. Step 3: Cross multiply
    3,878.95x = 5,818.60 × 1,105.82
  4. Step 4: Simplify right side
    3,878.95x = 6,434,295.16
  5. Step 5: Solve for x
    x = 6,434,295.16/3,878.95
  6. Step 6: Final answer
    x = 1,658.77

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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.