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Finding the Fourth Proportional to 5,652.34, 8,481.03 and 2,189.86

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Solution

The fourth proportional to 5,652.34, 8,481.03 and 2,189.86 is: 3,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.34 : 8,481.03 = 2,189.86 : x
  2. Step 2: Convert to fraction form
    5,652.34/8,481.03 = 2,189.86/x
  3. Step 3: Cross multiply
    5,652.34x = 8,481.03 × 2,189.86
  4. Step 4: Simplify right side
    5,652.34x = 18,572,268.36
  5. Step 5: Solve for x
    x = 18,572,268.36/5,652.34
  6. Step 6: Final answer
    x = 3,285.77

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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.