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Finding the Fourth Proportional to 5,675.38, 7,828.83 and 3,406.14

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Solution

The fourth proportional to 5,675.38, 7,828.83 and 3,406.14 is: 4,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.38 : 7,828.83 = 3,406.14 : x
  2. Step 2: Convert to fraction form
    5,675.38/7,828.83 = 3,406.14/x
  3. Step 3: Cross multiply
    5,675.38x = 7,828.83 × 3,406.14
  4. Step 4: Simplify right side
    5,675.38x = 26,666,091.02
  5. Step 5: Solve for x
    x = 26,666,091.02/5,675.38
  6. Step 6: Final answer
    x = 4,698.56

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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.