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Finding the Fourth Proportional to 3,852.78, 5,311.18 and 2,730.24

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Solution

The fourth proportional to 3,852.78, 5,311.18 and 2,730.24 is: 3,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.78 : 5,311.18 = 2,730.24 : x
  2. Step 2: Convert to fraction form
    3,852.78/5,311.18 = 2,730.24/x
  3. Step 3: Cross multiply
    3,852.78x = 5,311.18 × 2,730.24
  4. Step 4: Simplify right side
    3,852.78x = 14,500,796.08
  5. Step 5: Solve for x
    x = 14,500,796.08/3,852.78
  6. Step 6: Final answer
    x = 3,763.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.