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Finding the Fourth Proportional to 3,157.58, 4,732.26 and 1,306.58

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Solution

The fourth proportional to 3,157.58, 4,732.26 and 1,306.58 is: 1,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.58 : 4,732.26 = 1,306.58 : x
  2. Step 2: Convert to fraction form
    3,157.58/4,732.26 = 1,306.58/x
  3. Step 3: Cross multiply
    3,157.58x = 4,732.26 × 1,306.58
  4. Step 4: Simplify right side
    3,157.58x = 6,183,076.27
  5. Step 5: Solve for x
    x = 6,183,076.27/3,157.58
  6. Step 6: Final answer
    x = 1,958.17

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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.