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Finding the Fourth Proportional to 3,441.42, 5,157.07 and 1,539.44

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Solution

The fourth proportional to 3,441.42, 5,157.07 and 1,539.44 is: 2,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.42 : 5,157.07 = 1,539.44 : x
  2. Step 2: Convert to fraction form
    3,441.42/5,157.07 = 1,539.44/x
  3. Step 3: Cross multiply
    3,441.42x = 5,157.07 × 1,539.44
  4. Step 4: Simplify right side
    3,441.42x = 7,938,966.36
  5. Step 5: Solve for x
    x = 7,938,966.36/3,441.42
  6. Step 6: Final answer
    x = 2,306.89

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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.