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Finding the Fourth Proportional to 3,849.04, 5,308.60 and 2,589.68

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Solution

The fourth proportional to 3,849.04, 5,308.60 and 2,589.68 is: 3,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.04 : 5,308.60 = 2,589.68 : x
  2. Step 2: Convert to fraction form
    3,849.04/5,308.60 = 2,589.68/x
  3. Step 3: Cross multiply
    3,849.04x = 5,308.60 × 2,589.68
  4. Step 4: Simplify right side
    3,849.04x = 13,747,575.25
  5. Step 5: Solve for x
    x = 13,747,575.25/3,849.04
  6. Step 6: Final answer
    x = 3,571.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.