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Finding the Fourth Proportional to 3,150.46, 4,725.94 and 959.21

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Solution

The fourth proportional to 3,150.46, 4,725.94 and 959.21 is: 1,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.46 : 4,725.94 = 959.21 : x
  2. Step 2: Convert to fraction form
    3,150.46/4,725.94 = 959.21/x
  3. Step 3: Cross multiply
    3,150.46x = 4,725.94 × 959.21
  4. Step 4: Simplify right side
    3,150.46x = 4,533,145.28
  5. Step 5: Solve for x
    x = 4,533,145.28/3,150.46
  6. Step 6: Final answer
    x = 1,438.89

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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.