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Finding the Fourth Proportional to 5,832.16, 8,754.48 and 2,760.48

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Solution

The fourth proportional to 5,832.16, 8,754.48 and 2,760.48 is: 4,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.16 : 8,754.48 = 2,760.48 : x
  2. Step 2: Convert to fraction form
    5,832.16/8,754.48 = 2,760.48/x
  3. Step 3: Cross multiply
    5,832.16x = 8,754.48 × 2,760.48
  4. Step 4: Simplify right side
    5,832.16x = 24,166,566.95
  5. Step 5: Solve for x
    x = 24,166,566.95/5,832.16
  6. Step 6: Final answer
    x = 4,143.67

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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.