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Finding the Fourth Proportional to 4,887.75, 6,745.05 and 2,649.57

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Solution

The fourth proportional to 4,887.75, 6,745.05 and 2,649.57 is: 3,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.75 : 6,745.05 = 2,649.57 : x
  2. Step 2: Convert to fraction form
    4,887.75/6,745.05 = 2,649.57/x
  3. Step 3: Cross multiply
    4,887.75x = 6,745.05 × 2,649.57
  4. Step 4: Simplify right side
    4,887.75x = 17,871,482.13
  5. Step 5: Solve for x
    x = 17,871,482.13/4,887.75
  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.