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Finding the Fourth Proportional to 6,581.34, 9,081.77 and 3,597.21

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Solution

The fourth proportional to 6,581.34, 9,081.77 and 3,597.21 is: 4,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.34 : 9,081.77 = 3,597.21 : x
  2. Step 2: Convert to fraction form
    6,581.34/9,081.77 = 3,597.21/x
  3. Step 3: Cross multiply
    6,581.34x = 9,081.77 × 3,597.21
  4. Step 4: Simplify right side
    6,581.34x = 32,669,015.88
  5. Step 5: Solve for x
    x = 32,669,015.88/6,581.34
  6. Step 6: Final answer
    x = 4,963.89

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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.