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Finding the Fourth Proportional to 5,652.56, 7,800.48 and 3,134.80

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Solution

The fourth proportional to 5,652.56, 7,800.48 and 3,134.80 is: 4,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.56 : 7,800.48 = 3,134.80 : x
  2. Step 2: Convert to fraction form
    5,652.56/7,800.48 = 3,134.80/x
  3. Step 3: Cross multiply
    5,652.56x = 7,800.48 × 3,134.80
  4. Step 4: Simplify right side
    5,652.56x = 24,452,944.70
  5. Step 5: Solve for x
    x = 24,452,944.70/5,652.56
  6. Step 6: Final answer
    x = 4,325.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.