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Finding the Fourth Proportional to 5,709.83, 7,879.62 and 3,352.01

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Solution

The fourth proportional to 5,709.83, 7,879.62 and 3,352.01 is: 4,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.83 : 7,879.62 = 3,352.01 : x
  2. Step 2: Convert to fraction form
    5,709.83/7,879.62 = 3,352.01/x
  3. Step 3: Cross multiply
    5,709.83x = 7,879.62 × 3,352.01
  4. Step 4: Simplify right side
    5,709.83x = 26,412,565.04
  5. Step 5: Solve for x
    x = 26,412,565.04/5,709.83
  6. Step 6: Final answer
    x = 4,625.81

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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.