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Finding the Fourth Proportional to 5,272.68, 7,909.74 and 1,809

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Solution

The fourth proportional to 5,272.68, 7,909.74 and 1,809 is: 2,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.68 : 7,909.74 = 1,809 : x
  2. Step 2: Convert to fraction form
    5,272.68/7,909.74 = 1,809/x
  3. Step 3: Cross multiply
    5,272.68x = 7,909.74 × 1,809
  4. Step 4: Simplify right side
    5,272.68x = 14,308,719.66
  5. Step 5: Solve for x
    x = 14,308,719.66/5,272.68
  6. Step 6: Final answer
    x = 2,713.75

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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.