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Finding the Fourth Proportional to 4,136.79, 6,205.50 and 1,539.75

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Solution

The fourth proportional to 4,136.79, 6,205.50 and 1,539.75 is: 2,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.79 : 6,205.50 = 1,539.75 : x
  2. Step 2: Convert to fraction form
    4,136.79/6,205.50 = 1,539.75/x
  3. Step 3: Cross multiply
    4,136.79x = 6,205.50 × 1,539.75
  4. Step 4: Simplify right side
    4,136.79x = 9,554,918.63
  5. Step 5: Solve for x
    x = 9,554,918.63/4,136.79
  6. Step 6: Final answer
    x = 2,309.74

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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.