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Finding the Fourth Proportional to 6,580.92, 9,081.63 and 3,596.68

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Solution

The fourth proportional to 6,580.92, 9,081.63 and 3,596.68 is: 4,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.92 : 9,081.63 = 3,596.68 : x
  2. Step 2: Convert to fraction form
    6,580.92/9,081.63 = 3,596.68/x
  3. Step 3: Cross multiply
    6,580.92x = 9,081.63 × 3,596.68
  4. Step 4: Simplify right side
    6,580.92x = 32,663,716.99
  5. Step 5: Solve for x
    x = 32,663,716.99/6,580.92
  6. Step 6: Final answer
    x = 4,963.40

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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.