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Finding the Fourth Proportional to 3,462.82, 4,779.07 and 2,136.49

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Solution

The fourth proportional to 3,462.82, 4,779.07 and 2,136.49 is: 2,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.82 : 4,779.07 = 2,136.49 : x
  2. Step 2: Convert to fraction form
    3,462.82/4,779.07 = 2,136.49/x
  3. Step 3: Cross multiply
    3,462.82x = 4,779.07 × 2,136.49
  4. Step 4: Simplify right side
    3,462.82x = 10,210,449.88
  5. Step 5: Solve for x
    x = 10,210,449.88/3,462.82
  6. Step 6: Final answer
    x = 2,948.59

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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.