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Finding the Fourth Proportional to 4,181.63, 5,770.49 and 2,503.22

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Solution

The fourth proportional to 4,181.63, 5,770.49 and 2,503.22 is: 3,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.63 : 5,770.49 = 2,503.22 : x
  2. Step 2: Convert to fraction form
    4,181.63/5,770.49 = 2,503.22/x
  3. Step 3: Cross multiply
    4,181.63x = 5,770.49 × 2,503.22
  4. Step 4: Simplify right side
    4,181.63x = 14,444,764.61
  5. Step 5: Solve for x
    x = 14,444,764.61/4,181.63
  6. Step 6: Final answer
    x = 3,454.34

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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.