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Finding the Fourth Proportional to 3,155.56, 4,732.48 and 1,306.23

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Solution

The fourth proportional to 3,155.56, 4,732.48 and 1,306.23 is: 1,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.56 : 4,732.48 = 1,306.23 : x
  2. Step 2: Convert to fraction form
    3,155.56/4,732.48 = 1,306.23/x
  3. Step 3: Cross multiply
    3,155.56x = 4,732.48 × 1,306.23
  4. Step 4: Simplify right side
    3,155.56x = 6,181,717.86
  5. Step 5: Solve for x
    x = 6,181,717.86/3,155.56
  6. Step 6: Final answer
    x = 1,958.99

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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.