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Finding the Fourth Proportional to 3,486.58, 4,814.02 and 2,161.42

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Solution

The fourth proportional to 3,486.58, 4,814.02 and 2,161.42 is: 2,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.58 : 4,814.02 = 2,161.42 : x
  2. Step 2: Convert to fraction form
    3,486.58/4,814.02 = 2,161.42/x
  3. Step 3: Cross multiply
    3,486.58x = 4,814.02 × 2,161.42
  4. Step 4: Simplify right side
    3,486.58x = 10,405,119.11
  5. Step 5: Solve for x
    x = 10,405,119.11/3,486.58
  6. Step 6: Final answer
    x = 2,984.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.