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Finding the Fourth Proportional to 3,705.46, 5,114.75 and 2,950.63

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Solution

The fourth proportional to 3,705.46, 5,114.75 and 2,950.63 is: 4,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.46 : 5,114.75 = 2,950.63 : x
  2. Step 2: Convert to fraction form
    3,705.46/5,114.75 = 2,950.63/x
  3. Step 3: Cross multiply
    3,705.46x = 5,114.75 × 2,950.63
  4. Step 4: Simplify right side
    3,705.46x = 15,091,707.25
  5. Step 5: Solve for x
    x = 15,091,707.25/3,705.46
  6. Step 6: Final answer
    x = 4,072.83

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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.