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Finding the Fourth Proportional to 5,163.59, 7,746.29 and 1,832.85

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Solution

The fourth proportional to 5,163.59, 7,746.29 and 1,832.85 is: 2,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.59 : 7,746.29 = 1,832.85 : x
  2. Step 2: Convert to fraction form
    5,163.59/7,746.29 = 1,832.85/x
  3. Step 3: Cross multiply
    5,163.59x = 7,746.29 × 1,832.85
  4. Step 4: Simplify right side
    5,163.59x = 14,197,814.38
  5. Step 5: Solve for x
    x = 14,197,814.38/5,163.59
  6. Step 6: Final answer
    x = 2,749.60

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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.