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Finding the Fourth Proportional to 3,186.49, 4,770.87 and 2,404.13

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Solution

The fourth proportional to 3,186.49, 4,770.87 and 2,404.13 is: 3,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.49 : 4,770.87 = 2,404.13 : x
  2. Step 2: Convert to fraction form
    3,186.49/4,770.87 = 2,404.13/x
  3. Step 3: Cross multiply
    3,186.49x = 4,770.87 × 2,404.13
  4. Step 4: Simplify right side
    3,186.49x = 11,469,779.77
  5. Step 5: Solve for x
    x = 11,469,779.77/3,186.49
  6. Step 6: Final answer
    x = 3,599.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.