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Finding the Fourth Proportional to 3,710.88, 5,112.34 and 2,589.84

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Solution

The fourth proportional to 3,710.88, 5,112.34 and 2,589.84 is: 3,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.88 : 5,112.34 = 2,589.84 : x
  2. Step 2: Convert to fraction form
    3,710.88/5,112.34 = 2,589.84/x
  3. Step 3: Cross multiply
    3,710.88x = 5,112.34 × 2,589.84
  4. Step 4: Simplify right side
    3,710.88x = 13,240,136.15
  5. Step 5: Solve for x
    x = 13,240,136.15/3,710.88
  6. Step 6: Final answer
    x = 3,567.92

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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.