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Finding the Fourth Proportional to 5,648.59, 8,481.39 and 3,466.45

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Solution

The fourth proportional to 5,648.59, 8,481.39 and 3,466.45 is: 5,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.59 : 8,481.39 = 3,466.45 : x
  2. Step 2: Convert to fraction form
    5,648.59/8,481.39 = 3,466.45/x
  3. Step 3: Cross multiply
    5,648.59x = 8,481.39 × 3,466.45
  4. Step 4: Simplify right side
    5,648.59x = 29,400,314.37
  5. Step 5: Solve for x
    x = 29,400,314.37/5,648.59
  6. Step 6: Final answer
    x = 5,204.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.