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Finding the Fourth Proportional to 5,785.54, 8,676.87 and 4,745.50

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Solution

The fourth proportional to 5,785.54, 8,676.87 and 4,745.50 is: 7,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.54 : 8,676.87 = 4,745.50 : x
  2. Step 2: Convert to fraction form
    5,785.54/8,676.87 = 4,745.50/x
  3. Step 3: Cross multiply
    5,785.54x = 8,676.87 × 4,745.50
  4. Step 4: Simplify right side
    5,785.54x = 41,176,086.59
  5. Step 5: Solve for x
    x = 41,176,086.59/5,785.54
  6. Step 6: Final answer
    x = 7,117.07

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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.