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Finding the Fourth Proportional to 3,862.82, 5,330.70 and 2,094.42

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Solution

The fourth proportional to 3,862.82, 5,330.70 and 2,094.42 is: 2,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.82 : 5,330.70 = 2,094.42 : x
  2. Step 2: Convert to fraction form
    3,862.82/5,330.70 = 2,094.42/x
  3. Step 3: Cross multiply
    3,862.82x = 5,330.70 × 2,094.42
  4. Step 4: Simplify right side
    3,862.82x = 11,164,724.69
  5. Step 5: Solve for x
    x = 11,164,724.69/3,862.82
  6. Step 6: Final answer
    x = 2,890.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.