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Finding the Fourth Proportional to 6,539.68, 9,811.17 and 2,841.01

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Solution

The fourth proportional to 6,539.68, 9,811.17 and 2,841.01 is: 4,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.68 : 9,811.17 = 2,841.01 : x
  2. Step 2: Convert to fraction form
    6,539.68/9,811.17 = 2,841.01/x
  3. Step 3: Cross multiply
    6,539.68x = 9,811.17 × 2,841.01
  4. Step 4: Simplify right side
    6,539.68x = 27,873,632.08
  5. Step 5: Solve for x
    x = 27,873,632.08/6,539.68
  6. Step 6: Final answer
    x = 4,262.23

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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.