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Finding the Fourth Proportional to 6,580.94, 9,081.42 and 3,596.81

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Solution

The fourth proportional to 6,580.94, 9,081.42 and 3,596.81 is: 4,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.94 : 9,081.42 = 3,596.81 : x
  2. Step 2: Convert to fraction form
    6,580.94/9,081.42 = 3,596.81/x
  3. Step 3: Cross multiply
    6,580.94x = 9,081.42 × 3,596.81
  4. Step 4: Simplify right side
    6,580.94x = 32,664,096.86
  5. Step 5: Solve for x
    x = 32,664,096.86/6,580.94
  6. Step 6: Final answer
    x = 4,963.44

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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.