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Finding the Fourth Proportional to 3,602.14, 5,404.08 and 1,846.42

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Solution

The fourth proportional to 3,602.14, 5,404.08 and 1,846.42 is: 2,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.14 : 5,404.08 = 1,846.42 : x
  2. Step 2: Convert to fraction form
    3,602.14/5,404.08 = 1,846.42/x
  3. Step 3: Cross multiply
    3,602.14x = 5,404.08 × 1,846.42
  4. Step 4: Simplify right side
    3,602.14x = 9,978,201.39
  5. Step 5: Solve for x
    x = 9,978,201.39/3,602.14
  6. Step 6: Final answer
    x = 2,770.08

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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.