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Finding the Fourth Proportional to 3,151.38, 4,725.27 and 959.46

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Solution

The fourth proportional to 3,151.38, 4,725.27 and 959.46 is: 1,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.38 : 4,725.27 = 959.46 : x
  2. Step 2: Convert to fraction form
    3,151.38/4,725.27 = 959.46/x
  3. Step 3: Cross multiply
    3,151.38x = 4,725.27 × 959.46
  4. Step 4: Simplify right side
    3,151.38x = 4,533,707.55
  5. Step 5: Solve for x
    x = 4,533,707.55/3,151.38
  6. Step 6: Final answer
    x = 1,438.64

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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.