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Finding the Fourth Proportional to 3,256.78, 4,490.85 and 3,188.44

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Solution

The fourth proportional to 3,256.78, 4,490.85 and 3,188.44 is: 4,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.78 : 4,490.85 = 3,188.44 : x
  2. Step 2: Convert to fraction form
    3,256.78/4,490.85 = 3,188.44/x
  3. Step 3: Cross multiply
    3,256.78x = 4,490.85 × 3,188.44
  4. Step 4: Simplify right side
    3,256.78x = 14,318,794.55
  5. Step 5: Solve for x
    x = 14,318,794.55/3,256.78
  6. Step 6: Final answer
    x = 4,396.61

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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.