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Finding the Fourth Proportional to 4,826.98, 7,241.64 and 2,486.08

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Solution

The fourth proportional to 4,826.98, 7,241.64 and 2,486.08 is: 3,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.98 : 7,241.64 = 2,486.08 : x
  2. Step 2: Convert to fraction form
    4,826.98/7,241.64 = 2,486.08/x
  3. Step 3: Cross multiply
    4,826.98x = 7,241.64 × 2,486.08
  4. Step 4: Simplify right side
    4,826.98x = 18,003,296.37
  5. Step 5: Solve for x
    x = 18,003,296.37/4,826.98
  6. Step 6: Final answer
    x = 3,729.72

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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.