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Finding the Fourth Proportional to 3,141.71, 4,712.63 and 950.43

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Solution

The fourth proportional to 3,141.71, 4,712.63 and 950.43 is: 1,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.71 : 4,712.63 = 950.43 : x
  2. Step 2: Convert to fraction form
    3,141.71/4,712.63 = 950.43/x
  3. Step 3: Cross multiply
    3,141.71x = 4,712.63 × 950.43
  4. Step 4: Simplify right side
    3,141.71x = 4,479,020.18
  5. Step 5: Solve for x
    x = 4,479,020.18/3,141.71
  6. Step 6: Final answer
    x = 1,425.67

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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.