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Finding the Fourth Proportional to 5,257.76, 7,873.67 and 3,059.82

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Solution

The fourth proportional to 5,257.76, 7,873.67 and 3,059.82 is: 4,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.76 : 7,873.67 = 3,059.82 : x
  2. Step 2: Convert to fraction form
    5,257.76/7,873.67 = 3,059.82/x
  3. Step 3: Cross multiply
    5,257.76x = 7,873.67 × 3,059.82
  4. Step 4: Simplify right side
    5,257.76x = 24,091,997.64
  5. Step 5: Solve for x
    x = 24,091,997.64/5,257.76
  6. Step 6: Final answer
    x = 4,582.18

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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.