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Finding the Fourth Proportional to 3,878.07, 5,817.40 and 2,850.18

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Solution

The fourth proportional to 3,878.07, 5,817.40 and 2,850.18 is: 4,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.07 : 5,817.40 = 2,850.18 : x
  2. Step 2: Convert to fraction form
    3,878.07/5,817.40 = 2,850.18/x
  3. Step 3: Cross multiply
    3,878.07x = 5,817.40 × 2,850.18
  4. Step 4: Simplify right side
    3,878.07x = 16,580,637.13
  5. Step 5: Solve for x
    x = 16,580,637.13/3,878.07
  6. Step 6: Final answer
    x = 4,275.49

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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.