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Finding the Fourth Proportional to 6,107.69, 8,430.27 and 3,590.62

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Solution

The fourth proportional to 6,107.69, 8,430.27 and 3,590.62 is: 4,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.69 : 8,430.27 = 3,590.62 : x
  2. Step 2: Convert to fraction form
    6,107.69/8,430.27 = 3,590.62/x
  3. Step 3: Cross multiply
    6,107.69x = 8,430.27 × 3,590.62
  4. Step 4: Simplify right side
    6,107.69x = 30,269,896.07
  5. Step 5: Solve for x
    x = 30,269,896.07/6,107.69
  6. Step 6: Final answer
    x = 4,956.03

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