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Finding the Fourth Proportional to 3,149.82, 4,725 and 958.57

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Solution

The fourth proportional to 3,149.82, 4,725 and 958.57 is: 1,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.82 : 4,725 = 958.57 : x
  2. Step 2: Convert to fraction form
    3,149.82/4,725 = 958.57/x
  3. Step 3: Cross multiply
    3,149.82x = 4,725 × 958.57
  4. Step 4: Simplify right side
    3,149.82x = 4,529,243.25
  5. Step 5: Solve for x
    x = 4,529,243.25/3,149.82
  6. Step 6: Final answer
    x = 1,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.