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Finding the Fourth Proportional to 3,539.60, 5,309.25 and 1,074.36

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Solution

The fourth proportional to 3,539.60, 5,309.25 and 1,074.36 is: 1,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.60 : 5,309.25 = 1,074.36 : x
  2. Step 2: Convert to fraction form
    3,539.60/5,309.25 = 1,074.36/x
  3. Step 3: Cross multiply
    3,539.60x = 5,309.25 × 1,074.36
  4. Step 4: Simplify right side
    3,539.60x = 5,704,061.71
  5. Step 5: Solve for x
    x = 5,704,061.71/3,539.60
  6. Step 6: Final answer
    x = 1,611.50

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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.