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Finding the Fourth Proportional to 3,810.22, 5,717.40 and 2,891.50

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Solution

The fourth proportional to 3,810.22, 5,717.40 and 2,891.50 is: 4,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.22 : 5,717.40 = 2,891.50 : x
  2. Step 2: Convert to fraction form
    3,810.22/5,717.40 = 2,891.50/x
  3. Step 3: Cross multiply
    3,810.22x = 5,717.40 × 2,891.50
  4. Step 4: Simplify right side
    3,810.22x = 16,531,862.10
  5. Step 5: Solve for x
    x = 16,531,862.10/3,810.22
  6. Step 6: Final answer
    x = 4,338.82

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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.