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Finding the Fourth Proportional to 5,709.86, 7,879.66 and 3,352.04

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Solution

The fourth proportional to 5,709.86, 7,879.66 and 3,352.04 is: 4,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.86 : 7,879.66 = 3,352.04 : x
  2. Step 2: Convert to fraction form
    5,709.86/7,879.66 = 3,352.04/x
  3. Step 3: Cross multiply
    5,709.86x = 7,879.66 × 3,352.04
  4. Step 4: Simplify right side
    5,709.86x = 26,412,935.51
  5. Step 5: Solve for x
    x = 26,412,935.51/5,709.86
  6. Step 6: Final answer
    x = 4,625.85

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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.