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Finding the Fourth Proportional to 3,817.99, 5,263.14 and 2,556.82

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Solution

The fourth proportional to 3,817.99, 5,263.14 and 2,556.82 is: 3,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.99 : 5,263.14 = 2,556.82 : x
  2. Step 2: Convert to fraction form
    3,817.99/5,263.14 = 2,556.82/x
  3. Step 3: Cross multiply
    3,817.99x = 5,263.14 × 2,556.82
  4. Step 4: Simplify right side
    3,817.99x = 13,456,901.61
  5. Step 5: Solve for x
    x = 13,456,901.61/3,817.99
  6. Step 6: Final answer
    x = 3,524.60

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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.