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Finding the Fourth Proportional to 4,093.35, 5,648.82 and 2,230.35

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Solution

The fourth proportional to 4,093.35, 5,648.82 and 2,230.35 is: 3,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.35 : 5,648.82 = 2,230.35 : x
  2. Step 2: Convert to fraction form
    4,093.35/5,648.82 = 2,230.35/x
  3. Step 3: Cross multiply
    4,093.35x = 5,648.82 × 2,230.35
  4. Step 4: Simplify right side
    4,093.35x = 12,598,828.69
  5. Step 5: Solve for x
    x = 12,598,828.69/4,093.35
  6. Step 6: Final answer
    x = 3,077.88

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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.