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Finding the Fourth Proportional to 5,751.67, 8,629.32 and 1,856.38

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Solution

The fourth proportional to 5,751.67, 8,629.32 and 1,856.38 is: 2,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.67 : 8,629.32 = 1,856.38 : x
  2. Step 2: Convert to fraction form
    5,751.67/8,629.32 = 1,856.38/x
  3. Step 3: Cross multiply
    5,751.67x = 8,629.32 × 1,856.38
  4. Step 4: Simplify right side
    5,751.67x = 16,019,253.92
  5. Step 5: Solve for x
    x = 16,019,253.92/5,751.67
  6. Step 6: Final answer
    x = 2,785.15

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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.