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Finding the Fourth Proportional to 5,745.76, 8,633.22 and 3,666.76

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Solution

The fourth proportional to 5,745.76, 8,633.22 and 3,666.76 is: 5,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.76 : 8,633.22 = 3,666.76 : x
  2. Step 2: Convert to fraction form
    5,745.76/8,633.22 = 3,666.76/x
  3. Step 3: Cross multiply
    5,745.76x = 8,633.22 × 3,666.76
  4. Step 4: Simplify right side
    5,745.76x = 31,655,945.77
  5. Step 5: Solve for x
    x = 31,655,945.77/5,745.76
  6. Step 6: Final answer
    x = 5,509.44

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1.5x scale

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.