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Finding the Fourth Proportional to 3,816.96, 5,725.92 and 1,476.42

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Solution

The fourth proportional to 3,816.96, 5,725.92 and 1,476.42 is: 2,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.96 : 5,725.92 = 1,476.42 : x
  2. Step 2: Convert to fraction form
    3,816.96/5,725.92 = 1,476.42/x
  3. Step 3: Cross multiply
    3,816.96x = 5,725.92 × 1,476.42
  4. Step 4: Simplify right side
    3,816.96x = 8,453,862.81
  5. Step 5: Solve for x
    x = 8,453,862.81/3,816.96
  6. Step 6: Final answer
    x = 2,214.82

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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.