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Finding the Fourth Proportional to 4,093.32, 5,648.78 and 2,230.32

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Solution

The fourth proportional to 4,093.32, 5,648.78 and 2,230.32 is: 3,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.32 : 5,648.78 = 2,230.32 : x
  2. Step 2: Convert to fraction form
    4,093.32/5,648.78 = 2,230.32/x
  3. Step 3: Cross multiply
    4,093.32x = 5,648.78 × 2,230.32
  4. Step 4: Simplify right side
    4,093.32x = 12,598,575.86
  5. Step 5: Solve for x
    x = 12,598,575.86/4,093.32
  6. Step 6: Final answer
    x = 3,077.84

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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.