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Finding the Fourth Proportional to 5,325.81, 7,351.05 and 3,838.02

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Solution

The fourth proportional to 5,325.81, 7,351.05 and 3,838.02 is: 5,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.81 : 7,351.05 = 3,838.02 : x
  2. Step 2: Convert to fraction form
    5,325.81/7,351.05 = 3,838.02/x
  3. Step 3: Cross multiply
    5,325.81x = 7,351.05 × 3,838.02
  4. Step 4: Simplify right side
    5,325.81x = 28,213,476.92
  5. Step 5: Solve for x
    x = 28,213,476.92/5,325.81
  6. Step 6: Final answer
    x = 5,297.50

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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.