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Finding the Fourth Proportional to 3,475.14, 4,795.29 and 2,149.44

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Solution

The fourth proportional to 3,475.14, 4,795.29 and 2,149.44 is: 2,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.14 : 4,795.29 = 2,149.44 : x
  2. Step 2: Convert to fraction form
    3,475.14/4,795.29 = 2,149.44/x
  3. Step 3: Cross multiply
    3,475.14x = 4,795.29 × 2,149.44
  4. Step 4: Simplify right side
    3,475.14x = 10,307,188.14
  5. Step 5: Solve for x
    x = 10,307,188.14/3,475.14
  6. Step 6: Final answer
    x = 2,965.98

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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.