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Finding the Fourth Proportional to 4,166.44, 5,748.83 and 2,487.31

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Solution

The fourth proportional to 4,166.44, 5,748.83 and 2,487.31 is: 3,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 5,748.83 = 2,487.31 : x
  2. Step 2: Convert to fraction form
    4,166.44/5,748.83 = 2,487.31/x
  3. Step 3: Cross multiply
    4,166.44x = 5,748.83 × 2,487.31
  4. Step 4: Simplify right side
    4,166.44x = 14,299,122.35
  5. Step 5: Solve for x
    x = 14,299,122.35/4,166.44
  6. Step 6: Final answer
    x = 3,431.98

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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.