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Finding the Fourth Proportional to 6,581.91, 9,083.16 and 3,597.66

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Solution

The fourth proportional to 6,581.91, 9,083.16 and 3,597.66 is: 4,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.91 : 9,083.16 = 3,597.66 : x
  2. Step 2: Convert to fraction form
    6,581.91/9,083.16 = 3,597.66/x
  3. Step 3: Cross multiply
    6,581.91x = 9,083.16 × 3,597.66
  4. Step 4: Simplify right side
    6,581.91x = 32,678,121.41
  5. Step 5: Solve for x
    x = 32,678,121.41/6,581.91
  6. Step 6: Final answer
    x = 4,964.84

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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.