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Finding the Fourth Proportional to 3,588.39, 4,951.90 and 2,096.67

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Solution

The fourth proportional to 3,588.39, 4,951.90 and 2,096.67 is: 2,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.39 : 4,951.90 = 2,096.67 : x
  2. Step 2: Convert to fraction form
    3,588.39/4,951.90 = 2,096.67/x
  3. Step 3: Cross multiply
    3,588.39x = 4,951.90 × 2,096.67
  4. Step 4: Simplify right side
    3,588.39x = 10,382,500.17
  5. Step 5: Solve for x
    x = 10,382,500.17/3,588.39
  6. Step 6: Final answer
    x = 2,893.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.