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Finding the Fourth Proportional to 5,357.73, 8,034.98 and 2,582.67

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Solution

The fourth proportional to 5,357.73, 8,034.98 and 2,582.67 is: 3,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.73 : 8,034.98 = 2,582.67 : x
  2. Step 2: Convert to fraction form
    5,357.73/8,034.98 = 2,582.67/x
  3. Step 3: Cross multiply
    5,357.73x = 8,034.98 × 2,582.67
  4. Step 4: Simplify right side
    5,357.73x = 20,751,688.88
  5. Step 5: Solve for x
    x = 20,751,688.88/5,357.73
  6. Step 6: Final answer
    x = 3,873.22

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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.