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Finding the Fourth Proportional to 5,187.40, 7,775.70 and 2,843.80

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Solution

The fourth proportional to 5,187.40, 7,775.70 and 2,843.80 is: 4,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.40 : 7,775.70 = 2,843.80 : x
  2. Step 2: Convert to fraction form
    5,187.40/7,775.70 = 2,843.80/x
  3. Step 3: Cross multiply
    5,187.40x = 7,775.70 × 2,843.80
  4. Step 4: Simplify right side
    5,187.40x = 22,112,535.66
  5. Step 5: Solve for x
    x = 22,112,535.66/5,187.40
  6. Step 6: Final answer
    x = 4,262.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.