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Finding the Fourth Proportional to 3,838.41, 5,756.31 and 1,498.23

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Solution

The fourth proportional to 3,838.41, 5,756.31 and 1,498.23 is: 2,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.41 : 5,756.31 = 1,498.23 : x
  2. Step 2: Convert to fraction form
    3,838.41/5,756.31 = 1,498.23/x
  3. Step 3: Cross multiply
    3,838.41x = 5,756.31 × 1,498.23
  4. Step 4: Simplify right side
    3,838.41x = 8,624,276.33
  5. Step 5: Solve for x
    x = 8,624,276.33/3,838.41
  6. Step 6: Final answer
    x = 2,246.84

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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.