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Finding the Fourth Proportional to 3,150.25, 4,725.57 and 959.14

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Solution

The fourth proportional to 3,150.25, 4,725.57 and 959.14 is: 1,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.25 : 4,725.57 = 959.14 : x
  2. Step 2: Convert to fraction form
    3,150.25/4,725.57 = 959.14/x
  3. Step 3: Cross multiply
    3,150.25x = 4,725.57 × 959.14
  4. Step 4: Simplify right side
    3,150.25x = 4,532,483.21
  5. Step 5: Solve for x
    x = 4,532,483.21/3,150.25
  6. Step 6: Final answer
    x = 1,438.77

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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.