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Finding the Fourth Proportional to 3,551.76, 4,896.29 and 2,486.22

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Solution

The fourth proportional to 3,551.76, 4,896.29 and 2,486.22 is: 3,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.76 : 4,896.29 = 2,486.22 : x
  2. Step 2: Convert to fraction form
    3,551.76/4,896.29 = 2,486.22/x
  3. Step 3: Cross multiply
    3,551.76x = 4,896.29 × 2,486.22
  4. Step 4: Simplify right side
    3,551.76x = 12,173,241.98
  5. Step 5: Solve for x
    x = 12,173,241.98/3,551.76
  6. Step 6: Final answer
    x = 3,427.38

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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.