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Finding the Fourth Proportional to 4,306.56, 5,942.88 and 2,443.68

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Solution

The fourth proportional to 4,306.56, 5,942.88 and 2,443.68 is: 3,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.56 : 5,942.88 = 2,443.68 : x
  2. Step 2: Convert to fraction form
    4,306.56/5,942.88 = 2,443.68/x
  3. Step 3: Cross multiply
    4,306.56x = 5,942.88 × 2,443.68
  4. Step 4: Simplify right side
    4,306.56x = 14,522,497.00
  5. Step 5: Solve for x
    x = 14,522,497.00/4,306.56
  6. Step 6: Final answer
    x = 3,372.18

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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.