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Finding the Fourth Proportional to 3,878.40, 5,814.33 and 3,218.42

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Solution

The fourth proportional to 3,878.40, 5,814.33 and 3,218.42 is: 4,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.40 : 5,814.33 = 3,218.42 : x
  2. Step 2: Convert to fraction form
    3,878.40/5,814.33 = 3,218.42/x
  3. Step 3: Cross multiply
    3,878.40x = 5,814.33 × 3,218.42
  4. Step 4: Simplify right side
    3,878.40x = 18,712,943.82
  5. Step 5: Solve for x
    x = 18,712,943.82/3,878.40
  6. Step 6: Final answer
    x = 4,824.92

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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.