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Finding the Fourth Proportional to 6,580.61, 9,081.09 and 3,596.46

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Solution

The fourth proportional to 6,580.61, 9,081.09 and 3,596.46 is: 4,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.61 : 9,081.09 = 3,596.46 : x
  2. Step 2: Convert to fraction form
    6,580.61/9,081.09 = 3,596.46/x
  3. Step 3: Cross multiply
    6,580.61x = 9,081.09 × 3,596.46
  4. Step 4: Simplify right side
    6,580.61x = 32,659,776.94
  5. Step 5: Solve for x
    x = 32,659,776.94/6,580.61
  6. Step 6: Final answer
    x = 4,963.03

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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.