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Finding the Fourth Proportional to 3,865.14, 5,819.40 and 3,405.78

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Solution

The fourth proportional to 3,865.14, 5,819.40 and 3,405.78 is: 5,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.14 : 5,819.40 = 3,405.78 : x
  2. Step 2: Convert to fraction form
    3,865.14/5,819.40 = 3,405.78/x
  3. Step 3: Cross multiply
    3,865.14x = 5,819.40 × 3,405.78
  4. Step 4: Simplify right side
    3,865.14x = 19,819,596.13
  5. Step 5: Solve for x
    x = 19,819,596.13/3,865.14
  6. Step 6: Final answer
    x = 5,127.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.