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Finding the Fourth Proportional to 5,376.42, 8,065.62 and 3,816.90

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Solution

The fourth proportional to 5,376.42, 8,065.62 and 3,816.90 is: 5,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.42 : 8,065.62 = 3,816.90 : x
  2. Step 2: Convert to fraction form
    5,376.42/8,065.62 = 3,816.90/x
  3. Step 3: Cross multiply
    5,376.42x = 8,065.62 × 3,816.90
  4. Step 4: Simplify right side
    5,376.42x = 30,785,664.98
  5. Step 5: Solve for x
    x = 30,785,664.98/5,376.42
  6. Step 6: Final answer
    x = 5,726.05

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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.