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Finding the Fourth Proportional to 5,862, 8,089.80 and 3,378

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Solution

The fourth proportional to 5,862, 8,089.80 and 3,378 is: 4,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862 : 8,089.80 = 3,378 : x
  2. Step 2: Convert to fraction form
    5,862/8,089.80 = 3,378/x
  3. Step 3: Cross multiply
    5,862x = 8,089.80 × 3,378
  4. Step 4: Simplify right side
    5,862x = 27,327,344.40
  5. Step 5: Solve for x
    x = 27,327,344.40/5,862
  6. Step 6: Final answer
    x = 4,661.78

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Why These Related Problems?

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