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Finding the Fourth Proportional to 4,887.68, 6,745.00 and 2,649.55

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Solution

The fourth proportional to 4,887.68, 6,745.00 and 2,649.55 is: 3,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.68 : 6,745.00 = 2,649.55 : x
  2. Step 2: Convert to fraction form
    4,887.68/6,745.00 = 2,649.55/x
  3. Step 3: Cross multiply
    4,887.68x = 6,745.00 × 2,649.55
  4. Step 4: Simplify right side
    4,887.68x = 17,871,234.92
  5. Step 5: Solve for x
    x = 17,871,234.92/4,887.68
  6. Step 6: Final answer
    x = 3,656.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.