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Finding the Fourth Proportional to 3,927.90, 5,882.12 and 2,885.42

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Solution

The fourth proportional to 3,927.90, 5,882.12 and 2,885.42 is: 4,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.90 : 5,882.12 = 2,885.42 : x
  2. Step 2: Convert to fraction form
    3,927.90/5,882.12 = 2,885.42/x
  3. Step 3: Cross multiply
    3,927.90x = 5,882.12 × 2,885.42
  4. Step 4: Simplify right side
    3,927.90x = 16,972,386.69
  5. Step 5: Solve for x
    x = 16,972,386.69/3,927.90
  6. Step 6: Final answer
    x = 4,320.98

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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.