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Finding the Fourth Proportional to 5,836.32, 8,754.28 and 2,548.67

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Solution

The fourth proportional to 5,836.32, 8,754.28 and 2,548.67 is: 3,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.32 : 8,754.28 = 2,548.67 : x
  2. Step 2: Convert to fraction form
    5,836.32/8,754.28 = 2,548.67/x
  3. Step 3: Cross multiply
    5,836.32x = 8,754.28 × 2,548.67
  4. Step 4: Simplify right side
    5,836.32x = 22,311,720.66
  5. Step 5: Solve for x
    x = 22,311,720.66/5,836.32
  6. Step 6: Final answer
    x = 3,822.91

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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.