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Finding the Fourth Proportional to 4,461.38, 6,687.25 and 2,902.50

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Solution

The fourth proportional to 4,461.38, 6,687.25 and 2,902.50 is: 4,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.38 : 6,687.25 = 2,902.50 : x
  2. Step 2: Convert to fraction form
    4,461.38/6,687.25 = 2,902.50/x
  3. Step 3: Cross multiply
    4,461.38x = 6,687.25 × 2,902.50
  4. Step 4: Simplify right side
    4,461.38x = 19,409,735.87
  5. Step 5: Solve for x
    x = 19,409,735.87/4,461.38
  6. Step 6: Final answer
    x = 4,350.61

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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.