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Finding the Fourth Proportional to 6,580.56, 9,873.90 and 2,882.31

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Solution

The fourth proportional to 6,580.56, 9,873.90 and 2,882.31 is: 4,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.56 : 9,873.90 = 2,882.31 : x
  2. Step 2: Convert to fraction form
    6,580.56/9,873.90 = 2,882.31/x
  3. Step 3: Cross multiply
    6,580.56x = 9,873.90 × 2,882.31
  4. Step 4: Simplify right side
    6,580.56x = 28,459,640.71
  5. Step 5: Solve for x
    x = 28,459,640.71/6,580.56
  6. Step 6: Final answer
    x = 4,324.81

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Why These Related Problems?

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