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Finding the Fourth Proportional to 3,879.42, 5,775.25 and 3,856.35

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Solution

The fourth proportional to 3,879.42, 5,775.25 and 3,856.35 is: 5,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.42 : 5,775.25 = 3,856.35 : x
  2. Step 2: Convert to fraction form
    3,879.42/5,775.25 = 3,856.35/x
  3. Step 3: Cross multiply
    3,879.42x = 5,775.25 × 3,856.35
  4. Step 4: Simplify right side
    3,879.42x = 22,271,385.34
  5. Step 5: Solve for x
    x = 22,271,385.34/3,879.42
  6. Step 6: Final answer
    x = 5,740.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.