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Finding the Fourth Proportional to 6,089.30, 8,403.09 and 3,605.30

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Solution

The fourth proportional to 6,089.30, 8,403.09 and 3,605.30 is: 4,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.30 : 8,403.09 = 3,605.30 : x
  2. Step 2: Convert to fraction form
    6,089.30/8,403.09 = 3,605.30/x
  3. Step 3: Cross multiply
    6,089.30x = 8,403.09 × 3,605.30
  4. Step 4: Simplify right side
    6,089.30x = 30,295,660.38
  5. Step 5: Solve for x
    x = 30,295,660.38/6,089.30
  6. Step 6: Final answer
    x = 4,975.23

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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.