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Finding the Fourth Proportional to 4,136.60, 6,204.90 and 1,539.50

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Solution

The fourth proportional to 4,136.60, 6,204.90 and 1,539.50 is: 2,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.60 : 6,204.90 = 1,539.50 : x
  2. Step 2: Convert to fraction form
    4,136.60/6,204.90 = 1,539.50/x
  3. Step 3: Cross multiply
    4,136.60x = 6,204.90 × 1,539.50
  4. Step 4: Simplify right side
    4,136.60x = 9,552,443.55
  5. Step 5: Solve for x
    x = 9,552,443.55/4,136.60
  6. Step 6: Final answer
    x = 2,309.25

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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.