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Finding the Fourth Proportional to 4,287.34, 5,919.30 and 3,838.42

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Solution

The fourth proportional to 4,287.34, 5,919.30 and 3,838.42 is: 5,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.34 : 5,919.30 = 3,838.42 : x
  2. Step 2: Convert to fraction form
    4,287.34/5,919.30 = 3,838.42/x
  3. Step 3: Cross multiply
    4,287.34x = 5,919.30 × 3,838.42
  4. Step 4: Simplify right side
    4,287.34x = 22,720,759.51
  5. Step 5: Solve for x
    x = 22,720,759.51/4,287.34
  6. Step 6: Final answer
    x = 5,299.50

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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.