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Finding the Fourth Proportional to 3,875.28, 5,813.01 and 1,278.42

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Solution

The fourth proportional to 3,875.28, 5,813.01 and 1,278.42 is: 1,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.28 : 5,813.01 = 1,278.42 : x
  2. Step 2: Convert to fraction form
    3,875.28/5,813.01 = 1,278.42/x
  3. Step 3: Cross multiply
    3,875.28x = 5,813.01 × 1,278.42
  4. Step 4: Simplify right side
    3,875.28x = 7,431,468.24
  5. Step 5: Solve for x
    x = 7,431,468.24/3,875.28
  6. Step 6: Final answer
    x = 1,917.66

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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.