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Finding the Fourth Proportional to 3,775.90, 5,686.47 and 3,439.22

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Solution

The fourth proportional to 3,775.90, 5,686.47 and 3,439.22 is: 5,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.90 : 5,686.47 = 3,439.22 : x
  2. Step 2: Convert to fraction form
    3,775.90/5,686.47 = 3,439.22/x
  3. Step 3: Cross multiply
    3,775.90x = 5,686.47 × 3,439.22
  4. Step 4: Simplify right side
    3,775.90x = 19,557,021.35
  5. Step 5: Solve for x
    x = 19,557,021.35/3,775.90
  6. Step 6: Final answer
    x = 5,179.43

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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.