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Finding the Fourth Proportional to 6,585.42, 9,087.82 and 3,601.22

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Solution

The fourth proportional to 6,585.42, 9,087.82 and 3,601.22 is: 4,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.42 : 9,087.82 = 3,601.22 : x
  2. Step 2: Convert to fraction form
    6,585.42/9,087.82 = 3,601.22/x
  3. Step 3: Cross multiply
    6,585.42x = 9,087.82 × 3,601.22
  4. Step 4: Simplify right side
    6,585.42x = 32,727,252.86
  5. Step 5: Solve for x
    x = 32,727,252.86/6,585.42
  6. Step 6: Final answer
    x = 4,969.65

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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.