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Finding the Fourth Proportional to 3,945.42, 5,442.90 and 2,266.42

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Solution

The fourth proportional to 3,945.42, 5,442.90 and 2,266.42 is: 3,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.42 : 5,442.90 = 2,266.42 : x
  2. Step 2: Convert to fraction form
    3,945.42/5,442.90 = 2,266.42/x
  3. Step 3: Cross multiply
    3,945.42x = 5,442.90 × 2,266.42
  4. Step 4: Simplify right side
    3,945.42x = 12,335,897.42
  5. Step 5: Solve for x
    x = 12,335,897.42/3,945.42
  6. Step 6: Final answer
    x = 3,126.64

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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.