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Finding the Fourth Proportional to 6,580.22, 9,872.17 and 3,660.58

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Solution

The fourth proportional to 6,580.22, 9,872.17 and 3,660.58 is: 5,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.22 : 9,872.17 = 3,660.58 : x
  2. Step 2: Convert to fraction form
    6,580.22/9,872.17 = 3,660.58/x
  3. Step 3: Cross multiply
    6,580.22x = 9,872.17 × 3,660.58
  4. Step 4: Simplify right side
    6,580.22x = 36,137,834.23
  5. Step 5: Solve for x
    x = 36,137,834.23/6,580.22
  6. Step 6: Final answer
    x = 5,491.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.