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Finding the Fourth Proportional to 5,325.56, 7,982.93 and 2,548.16

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Solution

The fourth proportional to 5,325.56, 7,982.93 and 2,548.16 is: 3,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.56 : 7,982.93 = 2,548.16 : x
  2. Step 2: Convert to fraction form
    5,325.56/7,982.93 = 2,548.16/x
  3. Step 3: Cross multiply
    5,325.56x = 7,982.93 × 2,548.16
  4. Step 4: Simplify right side
    5,325.56x = 20,341,749.36
  5. Step 5: Solve for x
    x = 20,341,749.36/5,325.56
  6. Step 6: Final answer
    x = 3,819.65

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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.