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Finding the Fourth Proportional to 4,669.38, 7,006.50 and 2,202.93

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Solution

The fourth proportional to 4,669.38, 7,006.50 and 2,202.93 is: 3,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.38 : 7,006.50 = 2,202.93 : x
  2. Step 2: Convert to fraction form
    4,669.38/7,006.50 = 2,202.93/x
  3. Step 3: Cross multiply
    4,669.38x = 7,006.50 × 2,202.93
  4. Step 4: Simplify right side
    4,669.38x = 15,434,829.05
  5. Step 5: Solve for x
    x = 15,434,829.05/4,669.38
  6. Step 6: Final answer
    x = 3,305.54

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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.