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Finding the Fourth Proportional to 3,880.35, 5,810.14 and 3,384.43

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Solution

The fourth proportional to 3,880.35, 5,810.14 and 3,384.43 is: 5,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.35 : 5,810.14 = 3,384.43 : x
  2. Step 2: Convert to fraction form
    3,880.35/5,810.14 = 3,384.43/x
  3. Step 3: Cross multiply
    3,880.35x = 5,810.14 × 3,384.43
  4. Step 4: Simplify right side
    3,880.35x = 19,664,001.83
  5. Step 5: Solve for x
    x = 19,664,001.83/3,880.35
  6. Step 6: Final answer
    x = 5,067.58

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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.