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Finding the Fourth Proportional to 5,773.68, 8,659.58 and 2,075.22

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Solution

The fourth proportional to 5,773.68, 8,659.58 and 2,075.22 is: 3,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.68 : 8,659.58 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    5,773.68/8,659.58 = 2,075.22/x
  3. Step 3: Cross multiply
    5,773.68x = 8,659.58 × 2,075.22
  4. Step 4: Simplify right side
    5,773.68x = 17,970,523.23
  5. Step 5: Solve for x
    x = 17,970,523.23/5,773.68
  6. Step 6: Final answer
    x = 3,112.49

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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.