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Finding the Fourth Proportional to 5,832.57, 8,749.29 and 1,672.55

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Solution

The fourth proportional to 5,832.57, 8,749.29 and 1,672.55 is: 2,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.57 : 8,749.29 = 1,672.55 : x
  2. Step 2: Convert to fraction form
    5,832.57/8,749.29 = 1,672.55/x
  3. Step 3: Cross multiply
    5,832.57x = 8,749.29 × 1,672.55
  4. Step 4: Simplify right side
    5,832.57x = 14,633,581.24
  5. Step 5: Solve for x
    x = 14,633,581.24/5,832.57
  6. Step 6: Final answer
    x = 2,508.94

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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.